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Finding the Fourth Proportional to 458.48, 686.76 and 344.24

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Solution

The fourth proportional to 458.48, 686.76 and 344.24 is: 515.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.48 : 686.76 = 344.24 : x
  2. Step 2: Convert to fraction form
    458.48/686.76 = 344.24/x
  3. Step 3: Cross multiply
    458.48x = 686.76 × 344.24
  4. Step 4: Simplify right side
    458.48x = 236,410.26
  5. Step 5: Solve for x
    x = 236,410.26/458.48
  6. Step 6: Final answer
    x = 515.64

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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.