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Finding the Fourth Proportional to 920.75, 1,380.42 and 458.17

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Solution

The fourth proportional to 920.75, 1,380.42 and 458.17 is: 686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.75 : 1,380.42 = 458.17 : x
  2. Step 2: Convert to fraction form
    920.75/1,380.42 = 458.17/x
  3. Step 3: Cross multiply
    920.75x = 1,380.42 × 458.17
  4. Step 4: Simplify right side
    920.75x = 632,467.03
  5. Step 5: Solve for x
    x = 632,467.03/920.75
  6. Step 6: Final answer
    x = 686.90

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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.