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Finding the Fourth Proportional to 924.39, 1,385.86 and 461.94

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Solution

The fourth proportional to 924.39, 1,385.86 and 461.94 is: 692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.39 : 1,385.86 = 461.94 : x
  2. Step 2: Convert to fraction form
    924.39/1,385.86 = 461.94/x
  3. Step 3: Cross multiply
    924.39x = 1,385.86 × 461.94
  4. Step 4: Simplify right side
    924.39x = 640,184.17
  5. Step 5: Solve for x
    x = 640,184.17/924.39
  6. Step 6: Final answer
    x = 692.55

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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.