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Finding the Fourth Proportional to 844.98, 1,166.11 and 565.32

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Solution

The fourth proportional to 844.98, 1,166.11 and 565.32 is: 780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.98 : 1,166.11 = 565.32 : x
  2. Step 2: Convert to fraction form
    844.98/1,166.11 = 565.32/x
  3. Step 3: Cross multiply
    844.98x = 1,166.11 × 565.32
  4. Step 4: Simplify right side
    844.98x = 659,228.26
  5. Step 5: Solve for x
    x = 659,228.26/844.98
  6. Step 6: Final answer
    x = 780.17

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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.