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Finding the Fourth Proportional to 980.16, 1,352.56 and 537.96

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Solution

The fourth proportional to 980.16, 1,352.56 and 537.96 is: 742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.16 : 1,352.56 = 537.96 : x
  2. Step 2: Convert to fraction form
    980.16/1,352.56 = 537.96/x
  3. Step 3: Cross multiply
    980.16x = 1,352.56 × 537.96
  4. Step 4: Simplify right side
    980.16x = 727,623.18
  5. Step 5: Solve for x
    x = 727,623.18/980.16
  6. Step 6: Final answer
    x = 742.35

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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.