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Finding the Fourth Proportional to 523.89, 781.73 and 520.85

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Solution

The fourth proportional to 523.89, 781.73 and 520.85 is: 777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.89 : 781.73 = 520.85 : x
  2. Step 2: Convert to fraction form
    523.89/781.73 = 520.85/x
  3. Step 3: Cross multiply
    523.89x = 781.73 × 520.85
  4. Step 4: Simplify right side
    523.89x = 407,164.07
  5. Step 5: Solve for x
    x = 407,164.07/523.89
  6. Step 6: Final answer
    x = 777.19

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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.