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Finding the Fourth Proportional to 811.20, 1,118.24 and 589.80

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Solution

The fourth proportional to 811.20, 1,118.24 and 589.80 is: 813.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.20 : 1,118.24 = 589.80 : x
  2. Step 2: Convert to fraction form
    811.20/1,118.24 = 589.80/x
  3. Step 3: Cross multiply
    811.20x = 1,118.24 × 589.80
  4. Step 4: Simplify right side
    811.20x = 659,537.95
  5. Step 5: Solve for x
    x = 659,537.95/811.20
  6. Step 6: Final answer
    x = 813.04

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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.