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Finding the Fourth Proportional to 980.50, 1,353.06 and 538.40

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Solution

The fourth proportional to 980.50, 1,353.06 and 538.40 is: 742.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.50 : 1,353.06 = 538.40 : x
  2. Step 2: Convert to fraction form
    980.50/1,353.06 = 538.40/x
  3. Step 3: Cross multiply
    980.50x = 1,353.06 × 538.40
  4. Step 4: Simplify right side
    980.50x = 728,487.50
  5. Step 5: Solve for x
    x = 728,487.50/980.50
  6. Step 6: Final answer
    x = 742.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.