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Finding the Fourth Proportional to 1,438.24, 1,984.48 and 848.84

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Solution

The fourth proportional to 1,438.24, 1,984.48 and 848.84 is: 1,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.24 : 1,984.48 = 848.84 : x
  2. Step 2: Convert to fraction form
    1,438.24/1,984.48 = 848.84/x
  3. Step 3: Cross multiply
    1,438.24x = 1,984.48 × 848.84
  4. Step 4: Simplify right side
    1,438.24x = 1,684,506.00
  5. Step 5: Solve for x
    x = 1,684,506.00/1,438.24
  6. Step 6: Final answer
    x = 1,171.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.