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Finding the Fourth Proportional to 910.87, 1,257.16 and 537.82

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Solution

The fourth proportional to 910.87, 1,257.16 and 537.82 is: 742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.87 : 1,257.16 = 537.82 : x
  2. Step 2: Convert to fraction form
    910.87/1,257.16 = 537.82/x
  3. Step 3: Cross multiply
    910.87x = 1,257.16 × 537.82
  4. Step 4: Simplify right side
    910.87x = 676,123.10
  5. Step 5: Solve for x
    x = 676,123.10/910.87
  6. Step 6: Final answer
    x = 742.29

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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.