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Finding the Fourth Proportional to 910.50, 1,257.02 and 616.20

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Solution

The fourth proportional to 910.50, 1,257.02 and 616.20 is: 850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.50 : 1,257.02 = 616.20 : x
  2. Step 2: Convert to fraction form
    910.50/1,257.02 = 616.20/x
  3. Step 3: Cross multiply
    910.50x = 1,257.02 × 616.20
  4. Step 4: Simplify right side
    910.50x = 774,575.72
  5. Step 5: Solve for x
    x = 774,575.72/910.50
  6. Step 6: Final answer
    x = 850.71

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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.