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Finding the Fourth Proportional to 980.36, 1,471.28 and 467.72

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Solution

The fourth proportional to 980.36, 1,471.28 and 467.72 is: 701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.36 : 1,471.28 = 467.72 : x
  2. Step 2: Convert to fraction form
    980.36/1,471.28 = 467.72/x
  3. Step 3: Cross multiply
    980.36x = 1,471.28 × 467.72
  4. Step 4: Simplify right side
    980.36x = 688,147.08
  5. Step 5: Solve for x
    x = 688,147.08/980.36
  6. Step 6: Final answer
    x = 701.93

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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.