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Finding the Fourth Proportional to 808.68, 1,116.42 and 587.24

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Solution

The fourth proportional to 808.68, 1,116.42 and 587.24 is: 810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.68 : 1,116.42 = 587.24 : x
  2. Step 2: Convert to fraction form
    808.68/1,116.42 = 587.24/x
  3. Step 3: Cross multiply
    808.68x = 1,116.42 × 587.24
  4. Step 4: Simplify right side
    808.68x = 655,606.48
  5. Step 5: Solve for x
    x = 655,606.48/808.68
  6. Step 6: Final answer
    x = 810.71

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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.