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Finding the Fourth Proportional to 980.37, 1,470.47 and 635.88

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Solution

The fourth proportional to 980.37, 1,470.47 and 635.88 is: 953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.37 : 1,470.47 = 635.88 : x
  2. Step 2: Convert to fraction form
    980.37/1,470.47 = 635.88/x
  3. Step 3: Cross multiply
    980.37x = 1,470.47 × 635.88
  4. Step 4: Simplify right side
    980.37x = 935,035.97
  5. Step 5: Solve for x
    x = 935,035.97/980.37
  6. Step 6: Final answer
    x = 953.76

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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.