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Finding the Fourth Proportional to 979.74, 1,467.81 and 568.15

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Solution

The fourth proportional to 979.74, 1,467.81 and 568.15 is: 851.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.74 : 1,467.81 = 568.15 : x
  2. Step 2: Convert to fraction form
    979.74/1,467.81 = 568.15/x
  3. Step 3: Cross multiply
    979.74x = 1,467.81 × 568.15
  4. Step 4: Simplify right side
    979.74x = 833,932.58
  5. Step 5: Solve for x
    x = 833,932.58/979.74
  6. Step 6: Final answer
    x = 851.18

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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.