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Finding the Fourth Proportional to 979.18, 1,351.20 and 586.42

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Solution

The fourth proportional to 979.18, 1,351.20 and 586.42 is: 809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.18 : 1,351.20 = 586.42 : x
  2. Step 2: Convert to fraction form
    979.18/1,351.20 = 586.42/x
  3. Step 3: Cross multiply
    979.18x = 1,351.20 × 586.42
  4. Step 4: Simplify right side
    979.18x = 792,370.70
  5. Step 5: Solve for x
    x = 792,370.70/979.18
  6. Step 6: Final answer
    x = 809.22

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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.