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Finding the Fourth Proportional to 924.17, 1,385.85 and 346.64

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Solution

The fourth proportional to 924.17, 1,385.85 and 346.64 is: 519.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.17 : 1,385.85 = 346.64 : x
  2. Step 2: Convert to fraction form
    924.17/1,385.85 = 346.64/x
  3. Step 3: Cross multiply
    924.17x = 1,385.85 × 346.64
  4. Step 4: Simplify right side
    924.17x = 480,391.04
  5. Step 5: Solve for x
    x = 480,391.04/924.17
  6. Step 6: Final answer
    x = 519.81

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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.