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Finding the Fourth Proportional to 980.09, 1,470.13 and 459.71

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Solution

The fourth proportional to 980.09, 1,470.13 and 459.71 is: 689.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.09 : 1,470.13 = 459.71 : x
  2. Step 2: Convert to fraction form
    980.09/1,470.13 = 459.71/x
  3. Step 3: Cross multiply
    980.09x = 1,470.13 × 459.71
  4. Step 4: Simplify right side
    980.09x = 675,824.96
  5. Step 5: Solve for x
    x = 675,824.96/980.09
  6. Step 6: Final answer
    x = 689.56

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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.