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Finding the Fourth Proportional to 499.57, 749.66 and 458.26

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Solution

The fourth proportional to 499.57, 749.66 and 458.26 is: 687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.57 : 749.66 = 458.26 : x
  2. Step 2: Convert to fraction form
    499.57/749.66 = 458.26/x
  3. Step 3: Cross multiply
    499.57x = 749.66 × 458.26
  4. Step 4: Simplify right side
    499.57x = 343,535.03
  5. Step 5: Solve for x
    x = 343,535.03/499.57
  6. Step 6: Final answer
    x = 687.66

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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.