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Finding the Fourth Proportional to 980.61, 1,471.14 and 322.62

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Solution

The fourth proportional to 980.61, 1,471.14 and 322.62 is: 484.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.61 : 1,471.14 = 322.62 : x
  2. Step 2: Convert to fraction form
    980.61/1,471.14 = 322.62/x
  3. Step 3: Cross multiply
    980.61x = 1,471.14 × 322.62
  4. Step 4: Simplify right side
    980.61x = 474,619.19
  5. Step 5: Solve for x
    x = 474,619.19/980.61
  6. Step 6: Final answer
    x = 484.00

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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.