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Finding the Fourth Proportional to 747.49, 1,031.47 and 415.90

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Solution

The fourth proportional to 747.49, 1,031.47 and 415.90 is: 573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.49 : 1,031.47 = 415.90 : x
  2. Step 2: Convert to fraction form
    747.49/1,031.47 = 415.90/x
  3. Step 3: Cross multiply
    747.49x = 1,031.47 × 415.90
  4. Step 4: Simplify right side
    747.49x = 428,988.37
  5. Step 5: Solve for x
    x = 428,988.37/747.49
  6. Step 6: Final answer
    x = 573.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.