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Finding the Fourth Proportional to 1,332.61, 1,997.58 and 747.89

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Solution

The fourth proportional to 1,332.61, 1,997.58 and 747.89 is: 1,121.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.61 : 1,997.58 = 747.89 : x
  2. Step 2: Convert to fraction form
    1,332.61/1,997.58 = 747.89/x
  3. Step 3: Cross multiply
    1,332.61x = 1,997.58 × 747.89
  4. Step 4: Simplify right side
    1,332.61x = 1,493,970.11
  5. Step 5: Solve for x
    x = 1,493,970.11/1,332.61
  6. Step 6: Final answer
    x = 1,121.09

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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.