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Finding the Fourth Proportional to 747.54, 1,031.64 and 415.98

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Solution

The fourth proportional to 747.54, 1,031.64 and 415.98 is: 574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.54 : 1,031.64 = 415.98 : x
  2. Step 2: Convert to fraction form
    747.54/1,031.64 = 415.98/x
  3. Step 3: Cross multiply
    747.54x = 1,031.64 × 415.98
  4. Step 4: Simplify right side
    747.54x = 429,141.61
  5. Step 5: Solve for x
    x = 429,141.61/747.54
  6. Step 6: Final answer
    x = 574.07

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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.