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Finding the Fourth Proportional to 747.75, 1,031.67 and 433.02

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Solution

The fourth proportional to 747.75, 1,031.67 and 433.02 is: 597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.75 : 1,031.67 = 433.02 : x
  2. Step 2: Convert to fraction form
    747.75/1,031.67 = 433.02/x
  3. Step 3: Cross multiply
    747.75x = 1,031.67 × 433.02
  4. Step 4: Simplify right side
    747.75x = 446,733.74
  5. Step 5: Solve for x
    x = 446,733.74/747.75
  6. Step 6: Final answer
    x = 597.44

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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.