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Finding the Fourth Proportional to 747.57, 1,031.41 and 415.93

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Solution

The fourth proportional to 747.57, 1,031.41 and 415.93 is: 573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.57 : 1,031.41 = 415.93 : x
  2. Step 2: Convert to fraction form
    747.57/1,031.41 = 415.93/x
  3. Step 3: Cross multiply
    747.57x = 1,031.41 × 415.93
  4. Step 4: Simplify right side
    747.57x = 428,994.36
  5. Step 5: Solve for x
    x = 428,994.36/747.57
  6. Step 6: Final answer
    x = 573.85

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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.