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Finding the Fourth Proportional to 923.90, 1,385.12 and 461.44

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Solution

The fourth proportional to 923.90, 1,385.12 and 461.44 is: 691.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.90 : 1,385.12 = 461.44 : x
  2. Step 2: Convert to fraction form
    923.90/1,385.12 = 461.44/x
  3. Step 3: Cross multiply
    923.90x = 1,385.12 × 461.44
  4. Step 4: Simplify right side
    923.90x = 639,140.54
  5. Step 5: Solve for x
    x = 639,140.54/923.90
  6. Step 6: Final answer
    x = 691.79

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Double scale
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1.5x scale

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.