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Finding the Fourth Proportional to 1,332.54, 1,996.26 and 715.32

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Solution

The fourth proportional to 1,332.54, 1,996.26 and 715.32 is: 1,071.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.54 : 1,996.26 = 715.32 : x
  2. Step 2: Convert to fraction form
    1,332.54/1,996.26 = 715.32/x
  3. Step 3: Cross multiply
    1,332.54x = 1,996.26 × 715.32
  4. Step 4: Simplify right side
    1,332.54x = 1,427,964.70
  5. Step 5: Solve for x
    x = 1,427,964.70/1,332.54
  6. Step 6: Final answer
    x = 1,071.61

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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.