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Finding the Fourth Proportional to 523.60, 781.66 and 449.68

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Solution

The fourth proportional to 523.60, 781.66 and 449.68 is: 671.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.60 : 781.66 = 449.68 : x
  2. Step 2: Convert to fraction form
    523.60/781.66 = 449.68/x
  3. Step 3: Cross multiply
    523.60x = 781.66 × 449.68
  4. Step 4: Simplify right side
    523.60x = 351,496.87
  5. Step 5: Solve for x
    x = 351,496.87/523.60
  6. Step 6: Final answer
    x = 671.31

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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.