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Finding the Fourth Proportional to 924.18, 1,385.78 and 346.64

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Solution

The fourth proportional to 924.18, 1,385.78 and 346.64 is: 519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.18 : 1,385.78 = 346.64 : x
  2. Step 2: Convert to fraction form
    924.18/1,385.78 = 346.64/x
  3. Step 3: Cross multiply
    924.18x = 1,385.78 × 346.64
  4. Step 4: Simplify right side
    924.18x = 480,366.78
  5. Step 5: Solve for x
    x = 480,366.78/924.18
  6. Step 6: Final answer
    x = 519.78

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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.