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Finding the Fourth Proportional to 527.50, 731.06 and 519.40

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Solution

The fourth proportional to 527.50, 731.06 and 519.40 is: 719.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.50 : 731.06 = 519.40 : x
  2. Step 2: Convert to fraction form
    527.50/731.06 = 519.40/x
  3. Step 3: Cross multiply
    527.50x = 731.06 × 519.40
  4. Step 4: Simplify right side
    527.50x = 379,712.56
  5. Step 5: Solve for x
    x = 379,712.56/527.50
  6. Step 6: Final answer
    x = 719.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.