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Finding the Fourth Proportional to 458.78, 687.10 and 355.73

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Solution

The fourth proportional to 458.78, 687.10 and 355.73 is: 532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.78 : 687.10 = 355.73 : x
  2. Step 2: Convert to fraction form
    458.78/687.10 = 355.73/x
  3. Step 3: Cross multiply
    458.78x = 687.10 × 355.73
  4. Step 4: Simplify right side
    458.78x = 244,422.08
  5. Step 5: Solve for x
    x = 244,422.08/458.78
  6. Step 6: Final answer
    x = 532.77

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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.