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Finding the Fourth Proportional to 809.72, 1,117.80 and 574.16

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Solution

The fourth proportional to 809.72, 1,117.80 and 574.16 is: 792.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.72 : 1,117.80 = 574.16 : x
  2. Step 2: Convert to fraction form
    809.72/1,117.80 = 574.16/x
  3. Step 3: Cross multiply
    809.72x = 1,117.80 × 574.16
  4. Step 4: Simplify right side
    809.72x = 641,796.05
  5. Step 5: Solve for x
    x = 641,796.05/809.72
  6. Step 6: Final answer
    x = 792.61

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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.