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Finding the Fourth Proportional to 458.66, 684.68 and 426.58

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Solution

The fourth proportional to 458.66, 684.68 and 426.58 is: 636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.66 : 684.68 = 426.58 : x
  2. Step 2: Convert to fraction form
    458.66/684.68 = 426.58/x
  3. Step 3: Cross multiply
    458.66x = 684.68 × 426.58
  4. Step 4: Simplify right side
    458.66x = 292,066.95
  5. Step 5: Solve for x
    x = 292,066.95/458.66
  6. Step 6: Final answer
    x = 636.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.