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Finding the Fourth Proportional to 747.64, 1,121.21 and 285.31

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Solution

The fourth proportional to 747.64, 1,121.21 and 285.31 is: 427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.64 : 1,121.21 = 285.31 : x
  2. Step 2: Convert to fraction form
    747.64/1,121.21 = 285.31/x
  3. Step 3: Cross multiply
    747.64x = 1,121.21 × 285.31
  4. Step 4: Simplify right side
    747.64x = 319,892.43
  5. Step 5: Solve for x
    x = 319,892.43/747.64
  6. Step 6: Final answer
    x = 427.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.