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Finding the Fourth Proportional to 1,553.04, 2,329.56 and 783

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Solution

The fourth proportional to 1,553.04, 2,329.56 and 783 is: 1,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.04 : 2,329.56 = 783 : x
  2. Step 2: Convert to fraction form
    1,553.04/2,329.56 = 783/x
  3. Step 3: Cross multiply
    1,553.04x = 2,329.56 × 783
  4. Step 4: Simplify right side
    1,553.04x = 1,824,045.48
  5. Step 5: Solve for x
    x = 1,824,045.48/1,553.04
  6. Step 6: Final answer
    x = 1,174.50

Related Problems

Find fourth proportional to 776.52, 1,164.78 and 391.50
Half scale
Find fourth proportional to 3,106.08, 4,659.12 and 1,566
Double scale
Find fourth proportional to 1,554.04, 2,331.06 and 784
Similar ratio
Find fourth proportional to 2,329.56, 3,494.34 and 1,174.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.