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Finding the Fourth Proportional to 458.12, 686.52 and 433.48

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Solution

The fourth proportional to 458.12, 686.52 and 433.48 is: 649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.12 : 686.52 = 433.48 : x
  2. Step 2: Convert to fraction form
    458.12/686.52 = 433.48/x
  3. Step 3: Cross multiply
    458.12x = 686.52 × 433.48
  4. Step 4: Simplify right side
    458.12x = 297,592.69
  5. Step 5: Solve for x
    x = 297,592.69/458.12
  6. Step 6: Final answer
    x = 649.60

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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.