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Finding the Fourth Proportional to 838.12, 1,156.50 and 527.56

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Solution

The fourth proportional to 838.12, 1,156.50 and 527.56 is: 727.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.12 : 1,156.50 = 527.56 : x
  2. Step 2: Convert to fraction form
    838.12/1,156.50 = 527.56/x
  3. Step 3: Cross multiply
    838.12x = 1,156.50 × 527.56
  4. Step 4: Simplify right side
    838.12x = 610,123.14
  5. Step 5: Solve for x
    x = 610,123.14/838.12
  6. Step 6: Final answer
    x = 727.97

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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.