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Finding the Fourth Proportional to 910.76, 1,256.87 and 537.71

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Solution

The fourth proportional to 910.76, 1,256.87 and 537.71 is: 742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.76 : 1,256.87 = 537.71 : x
  2. Step 2: Convert to fraction form
    910.76/1,256.87 = 537.71/x
  3. Step 3: Cross multiply
    910.76x = 1,256.87 × 537.71
  4. Step 4: Simplify right side
    910.76x = 675,836.05
  5. Step 5: Solve for x
    x = 675,836.05/910.76
  6. Step 6: Final answer
    x = 742.06

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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.