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Finding the Fourth Proportional to 521.88, 781.49 and 277.86

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Solution

The fourth proportional to 521.88, 781.49 and 277.86 is: 416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.88 : 781.49 = 277.86 : x
  2. Step 2: Convert to fraction form
    521.88/781.49 = 277.86/x
  3. Step 3: Cross multiply
    521.88x = 781.49 × 277.86
  4. Step 4: Simplify right side
    521.88x = 217,143.42
  5. Step 5: Solve for x
    x = 217,143.42/521.88
  6. Step 6: Final answer
    x = 416.08

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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.