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Finding the Fourth Proportional to 721.12, 991.04 and 565.60

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Solution

The fourth proportional to 721.12, 991.04 and 565.60 is: 777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.12 : 991.04 = 565.60 : x
  2. Step 2: Convert to fraction form
    721.12/991.04 = 565.60/x
  3. Step 3: Cross multiply
    721.12x = 991.04 × 565.60
  4. Step 4: Simplify right side
    721.12x = 560,532.22
  5. Step 5: Solve for x
    x = 560,532.22/721.12
  6. Step 6: Final answer
    x = 777.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.