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Finding the Fourth Proportional to 920.43, 1,380.65 and 458.43

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Solution

The fourth proportional to 920.43, 1,380.65 and 458.43 is: 687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.43 : 1,380.65 = 458.43 : x
  2. Step 2: Convert to fraction form
    920.43/1,380.65 = 458.43/x
  3. Step 3: Cross multiply
    920.43x = 1,380.65 × 458.43
  4. Step 4: Simplify right side
    920.43x = 632,923.91
  5. Step 5: Solve for x
    x = 632,923.91/920.43
  6. Step 6: Final answer
    x = 687.64

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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.