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Finding the Fourth Proportional to 809.62, 1,116.82 and 561.08

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Solution

The fourth proportional to 809.62, 1,116.82 and 561.08 is: 773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.62 : 1,116.82 = 561.08 : x
  2. Step 2: Convert to fraction form
    809.62/1,116.82 = 561.08/x
  3. Step 3: Cross multiply
    809.62x = 1,116.82 × 561.08
  4. Step 4: Simplify right side
    809.62x = 626,628.86
  5. Step 5: Solve for x
    x = 626,628.86/809.62
  6. Step 6: Final answer
    x = 773.98

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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.