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Finding the Fourth Proportional to 980.68, 1,472.12 and 494.16

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Solution

The fourth proportional to 980.68, 1,472.12 and 494.16 is: 741.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.68 : 1,472.12 = 494.16 : x
  2. Step 2: Convert to fraction form
    980.68/1,472.12 = 494.16/x
  3. Step 3: Cross multiply
    980.68x = 1,472.12 × 494.16
  4. Step 4: Simplify right side
    980.68x = 727,462.82
  5. Step 5: Solve for x
    x = 727,462.82/980.68
  6. Step 6: Final answer
    x = 741.79

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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.