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Finding the Fourth Proportional to 1,332.61, 1,997.17 and 715.59

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Solution

The fourth proportional to 1,332.61, 1,997.17 and 715.59 is: 1,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.61 : 1,997.17 = 715.59 : x
  2. Step 2: Convert to fraction form
    1,332.61/1,997.17 = 715.59/x
  3. Step 3: Cross multiply
    1,332.61x = 1,997.17 × 715.59
  4. Step 4: Simplify right side
    1,332.61x = 1,429,159.87
  5. Step 5: Solve for x
    x = 1,429,159.87/1,332.61
  6. Step 6: Final answer
    x = 1,072.45

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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.