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Finding the Fourth Proportional to 989.28, 1,365.18 and 547.20

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Solution

The fourth proportional to 989.28, 1,365.18 and 547.20 is: 755.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.28 : 1,365.18 = 547.20 : x
  2. Step 2: Convert to fraction form
    989.28/1,365.18 = 547.20/x
  3. Step 3: Cross multiply
    989.28x = 1,365.18 × 547.20
  4. Step 4: Simplify right side
    989.28x = 747,026.50
  5. Step 5: Solve for x
    x = 747,026.50/989.28
  6. Step 6: Final answer
    x = 755.12

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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.