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Finding the Fourth Proportional to 869.20, 1,199.72 and 589.64

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Solution

The fourth proportional to 869.20, 1,199.72 and 589.64 is: 813.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.20 : 1,199.72 = 589.64 : x
  2. Step 2: Convert to fraction form
    869.20/1,199.72 = 589.64/x
  3. Step 3: Cross multiply
    869.20x = 1,199.72 × 589.64
  4. Step 4: Simplify right side
    869.20x = 707,402.90
  5. Step 5: Solve for x
    x = 707,402.90/869.20
  6. Step 6: Final answer
    x = 813.86

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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.