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Finding the Fourth Proportional to 770.12, 1,147.86 and 726.34

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Solution

The fourth proportional to 770.12, 1,147.86 and 726.34 is: 1,082.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.12 : 1,147.86 = 726.34 : x
  2. Step 2: Convert to fraction form
    770.12/1,147.86 = 726.34/x
  3. Step 3: Cross multiply
    770.12x = 1,147.86 × 726.34
  4. Step 4: Simplify right side
    770.12x = 833,736.34
  5. Step 5: Solve for x
    x = 833,736.34/770.12
  6. Step 6: Final answer
    x = 1,082.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.