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Finding the Fourth Proportional to 801.46, 1,105.69 and 565.75

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Solution

The fourth proportional to 801.46, 1,105.69 and 565.75 is: 780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.46 : 1,105.69 = 565.75 : x
  2. Step 2: Convert to fraction form
    801.46/1,105.69 = 565.75/x
  3. Step 3: Cross multiply
    801.46x = 1,105.69 × 565.75
  4. Step 4: Simplify right side
    801.46x = 625,544.12
  5. Step 5: Solve for x
    x = 625,544.12/801.46
  6. Step 6: Final answer
    x = 780.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.