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Finding the Fourth Proportional to 458.82, 684.24 and 390.78

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Solution

The fourth proportional to 458.82, 684.24 and 390.78 is: 582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.82 : 684.24 = 390.78 : x
  2. Step 2: Convert to fraction form
    458.82/684.24 = 390.78/x
  3. Step 3: Cross multiply
    458.82x = 684.24 × 390.78
  4. Step 4: Simplify right side
    458.82x = 267,387.31
  5. Step 5: Solve for x
    x = 267,387.31/458.82
  6. Step 6: Final answer
    x = 582.77

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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.