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Finding the Fourth Proportional to 778.72, 1,166.01 and 655.71

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Solution

The fourth proportional to 778.72, 1,166.01 and 655.71 is: 981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.72 : 1,166.01 = 655.71 : x
  2. Step 2: Convert to fraction form
    778.72/1,166.01 = 655.71/x
  3. Step 3: Cross multiply
    778.72x = 1,166.01 × 655.71
  4. Step 4: Simplify right side
    778.72x = 764,564.42
  5. Step 5: Solve for x
    x = 764,564.42/778.72
  6. Step 6: Final answer
    x = 981.82

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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.