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Finding the Fourth Proportional to 924.78, 1,385.95 and 513.71

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Solution

The fourth proportional to 924.78, 1,385.95 and 513.71 is: 769.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.78 : 1,385.95 = 513.71 : x
  2. Step 2: Convert to fraction form
    924.78/1,385.95 = 513.71/x
  3. Step 3: Cross multiply
    924.78x = 1,385.95 × 513.71
  4. Step 4: Simplify right side
    924.78x = 711,976.37
  5. Step 5: Solve for x
    x = 711,976.37/924.78
  6. Step 6: Final answer
    x = 769.89

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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.