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Finding the Fourth Proportional to 520.50, 781.08 and 277.19

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Solution

The fourth proportional to 520.50, 781.08 and 277.19 is: 415.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.50 : 781.08 = 277.19 : x
  2. Step 2: Convert to fraction form
    520.50/781.08 = 277.19/x
  3. Step 3: Cross multiply
    520.50x = 781.08 × 277.19
  4. Step 4: Simplify right side
    520.50x = 216,507.57
  5. Step 5: Solve for x
    x = 216,507.57/520.50
  6. Step 6: Final answer
    x = 415.96

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Double scale
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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.