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Finding the Fourth Proportional to 500.18, 743.99 and 458.87

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Solution

The fourth proportional to 500.18, 743.99 and 458.87 is: 682.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.18 : 743.99 = 458.87 : x
  2. Step 2: Convert to fraction form
    500.18/743.99 = 458.87/x
  3. Step 3: Cross multiply
    500.18x = 743.99 × 458.87
  4. Step 4: Simplify right side
    500.18x = 341,388.68
  5. Step 5: Solve for x
    x = 341,388.68/500.18
  6. Step 6: Final answer
    x = 682.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.