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Finding the Fourth Proportional to 979.57, 1,351.78 and 537.46

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Solution

The fourth proportional to 979.57, 1,351.78 and 537.46 is: 741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.57 : 1,351.78 = 537.46 : x
  2. Step 2: Convert to fraction form
    979.57/1,351.78 = 537.46/x
  3. Step 3: Cross multiply
    979.57x = 1,351.78 × 537.46
  4. Step 4: Simplify right side
    979.57x = 726,527.68
  5. Step 5: Solve for x
    x = 726,527.68/979.57
  6. Step 6: Final answer
    x = 741.68

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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.