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Finding the Fourth Proportional to 521.12, 781 and 277.48

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Solution

The fourth proportional to 521.12, 781 and 277.48 is: 415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.12 : 781 = 277.48 : x
  2. Step 2: Convert to fraction form
    521.12/781 = 277.48/x
  3. Step 3: Cross multiply
    521.12x = 781 × 277.48
  4. Step 4: Simplify right side
    521.12x = 216,711.88
  5. Step 5: Solve for x
    x = 216,711.88/521.12
  6. Step 6: Final answer
    x = 415.86

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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.