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Finding the Fourth Proportional to 775.66, 1,160.61 and 731.86

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Solution

The fourth proportional to 775.66, 1,160.61 and 731.86 is: 1,095.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.66 : 1,160.61 = 731.86 : x
  2. Step 2: Convert to fraction form
    775.66/1,160.61 = 731.86/x
  3. Step 3: Cross multiply
    775.66x = 1,160.61 × 731.86
  4. Step 4: Simplify right side
    775.66x = 849,404.03
  5. Step 5: Solve for x
    x = 849,404.03/775.66
  6. Step 6: Final answer
    x = 1,095.07

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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.