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Finding the Fourth Proportional to 523.88, 781.74 and 520.86

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Solution

The fourth proportional to 523.88, 781.74 and 520.86 is: 777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.88 : 781.74 = 520.86 : x
  2. Step 2: Convert to fraction form
    523.88/781.74 = 520.86/x
  3. Step 3: Cross multiply
    523.88x = 781.74 × 520.86
  4. Step 4: Simplify right side
    523.88x = 407,177.10
  5. Step 5: Solve for x
    x = 407,177.10/523.88
  6. Step 6: Final answer
    x = 777.23

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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.