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Finding the Fourth Proportional to 979.18, 1,351.06 and 580.65

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Solution

The fourth proportional to 979.18, 1,351.06 and 580.65 is: 801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.18 : 1,351.06 = 580.65 : x
  2. Step 2: Convert to fraction form
    979.18/1,351.06 = 580.65/x
  3. Step 3: Cross multiply
    979.18x = 1,351.06 × 580.65
  4. Step 4: Simplify right side
    979.18x = 784,497.34
  5. Step 5: Solve for x
    x = 784,497.34/979.18
  6. Step 6: Final answer
    x = 801.18

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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.