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Finding the Fourth Proportional to 527.46, 787.68 and 521.73

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Solution

The fourth proportional to 527.46, 787.68 and 521.73 is: 779.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.46 : 787.68 = 521.73 : x
  2. Step 2: Convert to fraction form
    527.46/787.68 = 521.73/x
  3. Step 3: Cross multiply
    527.46x = 787.68 × 521.73
  4. Step 4: Simplify right side
    527.46x = 410,954.98
  5. Step 5: Solve for x
    x = 410,954.98/527.46
  6. Step 6: Final answer
    x = 779.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.