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Finding the Fourth Proportional to 777.57, 1,166.28 and 411.97

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Solution

The fourth proportional to 777.57, 1,166.28 and 411.97 is: 617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.57 : 1,166.28 = 411.97 : x
  2. Step 2: Convert to fraction form
    777.57/1,166.28 = 411.97/x
  3. Step 3: Cross multiply
    777.57x = 1,166.28 × 411.97
  4. Step 4: Simplify right side
    777.57x = 480,470.31
  5. Step 5: Solve for x
    x = 480,470.31/777.57
  6. Step 6: Final answer
    x = 617.91

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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.