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Finding the Fourth Proportional to 809, 1,116.96 and 499.04

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Solution

The fourth proportional to 809, 1,116.96 and 499.04 is: 689.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    809 : 1,116.96 = 499.04 : x
  2. Step 2: Convert to fraction form
    809/1,116.96 = 499.04/x
  3. Step 3: Cross multiply
    809x = 1,116.96 × 499.04
  4. Step 4: Simplify right side
    809x = 557,407.72
  5. Step 5: Solve for x
    x = 557,407.72/809
  6. Step 6: Final answer
    x = 689.01

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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.