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Finding the Fourth Proportional to 776.55, 1,166.04 and 614.97

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Solution

The fourth proportional to 776.55, 1,166.04 and 614.97 is: 923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.55 : 1,166.04 = 614.97 : x
  2. Step 2: Convert to fraction form
    776.55/1,166.04 = 614.97/x
  3. Step 3: Cross multiply
    776.55x = 1,166.04 × 614.97
  4. Step 4: Simplify right side
    776.55x = 717,079.62
  5. Step 5: Solve for x
    x = 717,079.62/776.55
  6. Step 6: Final answer
    x = 923.42

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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.