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Finding the Fourth Proportional to 458.64, 686.10 and 406.68

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Solution

The fourth proportional to 458.64, 686.10 and 406.68 is: 608.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.64 : 686.10 = 406.68 : x
  2. Step 2: Convert to fraction form
    458.64/686.10 = 406.68/x
  3. Step 3: Cross multiply
    458.64x = 686.10 × 406.68
  4. Step 4: Simplify right side
    458.64x = 279,023.15
  5. Step 5: Solve for x
    x = 279,023.15/458.64
  6. Step 6: Final answer
    x = 608.37

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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.