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Finding the Fourth Proportional to 580.04, 869.89 and 209.79

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Solution

The fourth proportional to 580.04, 869.89 and 209.79 is: 314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.04 : 869.89 = 209.79 : x
  2. Step 2: Convert to fraction form
    580.04/869.89 = 209.79/x
  3. Step 3: Cross multiply
    580.04x = 869.89 × 209.79
  4. Step 4: Simplify right side
    580.04x = 182,488.82
  5. Step 5: Solve for x
    x = 182,488.82/580.04
  6. Step 6: Final answer
    x = 314.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.