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Finding the Fourth Proportional to 979.43, 1,351.62 and 559.78

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Solution

The fourth proportional to 979.43, 1,351.62 and 559.78 is: 772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.43 : 1,351.62 = 559.78 : x
  2. Step 2: Convert to fraction form
    979.43/1,351.62 = 559.78/x
  3. Step 3: Cross multiply
    979.43x = 1,351.62 × 559.78
  4. Step 4: Simplify right side
    979.43x = 756,606.46
  5. Step 5: Solve for x
    x = 756,606.46/979.43
  6. Step 6: Final answer
    x = 772.50

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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.