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Finding the Fourth Proportional to 520.62, 781.05 and 277.10

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Solution

The fourth proportional to 520.62, 781.05 and 277.10 is: 415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.62 : 781.05 = 277.10 : x
  2. Step 2: Convert to fraction form
    520.62/781.05 = 277.10/x
  3. Step 3: Cross multiply
    520.62x = 781.05 × 277.10
  4. Step 4: Simplify right side
    520.62x = 216,425.05
  5. Step 5: Solve for x
    x = 216,425.05/520.62
  6. Step 6: Final answer
    x = 415.71

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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.