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Finding the Fourth Proportional to 523.80, 781.11 and 459.09

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Solution

The fourth proportional to 523.80, 781.11 and 459.09 is: 684.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.80 : 781.11 = 459.09 : x
  2. Step 2: Convert to fraction form
    523.80/781.11 = 459.09/x
  3. Step 3: Cross multiply
    523.80x = 781.11 × 459.09
  4. Step 4: Simplify right side
    523.80x = 358,599.79
  5. Step 5: Solve for x
    x = 358,599.79/523.80
  6. Step 6: Final answer
    x = 684.61

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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.