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Finding the Fourth Proportional to 521.54, 781.44 and 277.34

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Solution

The fourth proportional to 521.54, 781.44 and 277.34 is: 415.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.54 : 781.44 = 277.34 : x
  2. Step 2: Convert to fraction form
    521.54/781.44 = 277.34/x
  3. Step 3: Cross multiply
    521.54x = 781.44 × 277.34
  4. Step 4: Simplify right side
    521.54x = 216,724.57
  5. Step 5: Solve for x
    x = 216,724.57/521.54
  6. Step 6: Final answer
    x = 415.55

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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.