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Finding the Fourth Proportional to 801.50, 1,105.75 and 565.79

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Solution

The fourth proportional to 801.50, 1,105.75 and 565.79 is: 780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.50 : 1,105.75 = 565.79 : x
  2. Step 2: Convert to fraction form
    801.50/1,105.75 = 565.79/x
  3. Step 3: Cross multiply
    801.50x = 1,105.75 × 565.79
  4. Step 4: Simplify right side
    801.50x = 625,617.47
  5. Step 5: Solve for x
    x = 625,617.47/801.50
  6. Step 6: Final answer
    x = 780.56

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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.