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Finding the Fourth Proportional to 980.65, 1,351.92 and 700.78

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Solution

The fourth proportional to 980.65, 1,351.92 and 700.78 is: 966.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.65 : 1,351.92 = 700.78 : x
  2. Step 2: Convert to fraction form
    980.65/1,351.92 = 700.78/x
  3. Step 3: Cross multiply
    980.65x = 1,351.92 × 700.78
  4. Step 4: Simplify right side
    980.65x = 947,398.50
  5. Step 5: Solve for x
    x = 947,398.50/980.65
  6. Step 6: Final answer
    x = 966.09

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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.