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Finding the Fourth Proportional to 980.59, 1,470.96 and 322.21

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Solution

The fourth proportional to 980.59, 1,470.96 and 322.21 is: 483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.59 : 1,470.96 = 322.21 : x
  2. Step 2: Convert to fraction form
    980.59/1,470.96 = 322.21/x
  3. Step 3: Cross multiply
    980.59x = 1,470.96 × 322.21
  4. Step 4: Simplify right side
    980.59x = 473,958.02
  5. Step 5: Solve for x
    x = 473,958.02/980.59
  6. Step 6: Final answer
    x = 483.34

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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.