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Finding the Fourth Proportional to 980.40, 1,469.52 and 402.96

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Solution

The fourth proportional to 980.40, 1,469.52 and 402.96 is: 604.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.40 : 1,469.52 = 402.96 : x
  2. Step 2: Convert to fraction form
    980.40/1,469.52 = 402.96/x
  3. Step 3: Cross multiply
    980.40x = 1,469.52 × 402.96
  4. Step 4: Simplify right side
    980.40x = 592,157.78
  5. Step 5: Solve for x
    x = 592,157.78/980.40
  6. Step 6: Final answer
    x = 604.00

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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.