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Finding the Fourth Proportional to 979.69, 1,351.97 and 531.55

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Solution

The fourth proportional to 979.69, 1,351.97 and 531.55 is: 733.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.69 : 1,351.97 = 531.55 : x
  2. Step 2: Convert to fraction form
    979.69/1,351.97 = 531.55/x
  3. Step 3: Cross multiply
    979.69x = 1,351.97 × 531.55
  4. Step 4: Simplify right side
    979.69x = 718,639.28
  5. Step 5: Solve for x
    x = 718,639.28/979.69
  6. Step 6: Final answer
    x = 733.54

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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.