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Finding the Fourth Proportional to 1,332.49, 1,996.98 and 715.47

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Solution

The fourth proportional to 1,332.49, 1,996.98 and 715.47 is: 1,072.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.49 : 1,996.98 = 715.47 : x
  2. Step 2: Convert to fraction form
    1,332.49/1,996.98 = 715.47/x
  3. Step 3: Cross multiply
    1,332.49x = 1,996.98 × 715.47
  4. Step 4: Simplify right side
    1,332.49x = 1,428,776.08
  5. Step 5: Solve for x
    x = 1,428,776.08/1,332.49
  6. Step 6: Final answer
    x = 1,072.26

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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.