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Finding the Fourth Proportional to 924.32, 1,385.42 and 577.74

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Solution

The fourth proportional to 924.32, 1,385.42 and 577.74 is: 865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.32 : 1,385.42 = 577.74 : x
  2. Step 2: Convert to fraction form
    924.32/1,385.42 = 577.74/x
  3. Step 3: Cross multiply
    924.32x = 1,385.42 × 577.74
  4. Step 4: Simplify right side
    924.32x = 800,412.55
  5. Step 5: Solve for x
    x = 800,412.55/924.32
  6. Step 6: Final answer
    x = 865.95

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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.