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Finding the Fourth Proportional to 527.40, 725.94 and 371.88

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Solution

The fourth proportional to 527.40, 725.94 and 371.88 is: 511.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.40 : 725.94 = 371.88 : x
  2. Step 2: Convert to fraction form
    527.40/725.94 = 371.88/x
  3. Step 3: Cross multiply
    527.40x = 725.94 × 371.88
  4. Step 4: Simplify right side
    527.40x = 269,962.57
  5. Step 5: Solve for x
    x = 269,962.57/527.40
  6. Step 6: Final answer
    x = 511.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.