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Finding the Fourth Proportional to 458.00, 686.80 and 284.41

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Solution

The fourth proportional to 458.00, 686.80 and 284.41 is: 426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.00 : 686.80 = 284.41 : x
  2. Step 2: Convert to fraction form
    458.00/686.80 = 284.41/x
  3. Step 3: Cross multiply
    458.00x = 686.80 × 284.41
  4. Step 4: Simplify right side
    458.00x = 195,332.40
  5. Step 5: Solve for x
    x = 195,332.40/458.00
  6. Step 6: Final answer
    x = 426.49

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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.