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Finding the Fourth Proportional to 764.55, 1,147.38 and 691.11

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Solution

The fourth proportional to 764.55, 1,147.38 and 691.11 is: 1,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.55 : 1,147.38 = 691.11 : x
  2. Step 2: Convert to fraction form
    764.55/1,147.38 = 691.11/x
  3. Step 3: Cross multiply
    764.55x = 1,147.38 × 691.11
  4. Step 4: Simplify right side
    764.55x = 792,965.79
  5. Step 5: Solve for x
    x = 792,965.79/764.55
  6. Step 6: Final answer
    x = 1,037.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.