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Finding the Fourth Proportional to 924.25, 1,385.65 and 461.80

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Solution

The fourth proportional to 924.25, 1,385.65 and 461.80 is: 692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.25 : 1,385.65 = 461.80 : x
  2. Step 2: Convert to fraction form
    924.25/1,385.65 = 461.80/x
  3. Step 3: Cross multiply
    924.25x = 1,385.65 × 461.80
  4. Step 4: Simplify right side
    924.25x = 639,893.17
  5. Step 5: Solve for x
    x = 639,893.17/924.25
  6. Step 6: Final answer
    x = 692.34

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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.