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Finding the Fourth Proportional to 1,106.04, 1,655.70 and 887.80

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Solution

The fourth proportional to 1,106.04, 1,655.70 and 887.80 is: 1,329.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.04 : 1,655.70 = 887.80 : x
  2. Step 2: Convert to fraction form
    1,106.04/1,655.70 = 887.80/x
  3. Step 3: Cross multiply
    1,106.04x = 1,655.70 × 887.80
  4. Step 4: Simplify right side
    1,106.04x = 1,469,930.46
  5. Step 5: Solve for x
    x = 1,469,930.46/1,106.04
  6. Step 6: Final answer
    x = 1,329.00

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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.