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Finding the Fourth Proportional to 747.16, 1,031.08 and 415.59

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Solution

The fourth proportional to 747.16, 1,031.08 and 415.59 is: 573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.16 : 1,031.08 = 415.59 : x
  2. Step 2: Convert to fraction form
    747.16/1,031.08 = 415.59/x
  3. Step 3: Cross multiply
    747.16x = 1,031.08 × 415.59
  4. Step 4: Simplify right side
    747.16x = 428,506.54
  5. Step 5: Solve for x
    x = 428,506.54/747.16
  6. Step 6: Final answer
    x = 573.51

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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.