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Finding the Fourth Proportional to 747.32, 1,031.30 and 415.77

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Solution

The fourth proportional to 747.32, 1,031.30 and 415.77 is: 573.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.32 : 1,031.30 = 415.77 : x
  2. Step 2: Convert to fraction form
    747.32/1,031.30 = 415.77/x
  3. Step 3: Cross multiply
    747.32x = 1,031.30 × 415.77
  4. Step 4: Simplify right side
    747.32x = 428,786.95
  5. Step 5: Solve for x
    x = 428,786.95/747.32
  6. Step 6: Final answer
    x = 573.77

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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.