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Finding the Fourth Proportional to 910.50, 1,257.51 and 615.25

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Solution

The fourth proportional to 910.50, 1,257.51 and 615.25 is: 849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.50 : 1,257.51 = 615.25 : x
  2. Step 2: Convert to fraction form
    910.50/1,257.51 = 615.25/x
  3. Step 3: Cross multiply
    910.50x = 1,257.51 × 615.25
  4. Step 4: Simplify right side
    910.50x = 773,679.95
  5. Step 5: Solve for x
    x = 773,679.95/910.50
  6. Step 6: Final answer
    x = 849.74

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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.