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Finding the Fourth Proportional to 1,332.68, 2,001.15 and 785.30

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Solution

The fourth proportional to 1,332.68, 2,001.15 and 785.30 is: 1,179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.68 : 2,001.15 = 785.30 : x
  2. Step 2: Convert to fraction form
    1,332.68/2,001.15 = 785.30/x
  3. Step 3: Cross multiply
    1,332.68x = 2,001.15 × 785.30
  4. Step 4: Simplify right side
    1,332.68x = 1,571,503.10
  5. Step 5: Solve for x
    x = 1,571,503.10/1,332.68
  6. Step 6: Final answer
    x = 1,179.21

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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.