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Finding the Fourth Proportional to 910.80, 1,262.66 and 861.53

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Solution

The fourth proportional to 910.80, 1,262.66 and 861.53 is: 1,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.80 : 1,262.66 = 861.53 : x
  2. Step 2: Convert to fraction form
    910.80/1,262.66 = 861.53/x
  3. Step 3: Cross multiply
    910.80x = 1,262.66 × 861.53
  4. Step 4: Simplify right side
    910.80x = 1,087,808.85
  5. Step 5: Solve for x
    x = 1,087,808.85/910.80
  6. Step 6: Final answer
    x = 1,194.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.