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Finding the Fourth Proportional to 981.98, 1,470.53 and 721.36

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Solution

The fourth proportional to 981.98, 1,470.53 and 721.36 is: 1,080.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.98 : 1,470.53 = 721.36 : x
  2. Step 2: Convert to fraction form
    981.98/1,470.53 = 721.36/x
  3. Step 3: Cross multiply
    981.98x = 1,470.53 × 721.36
  4. Step 4: Simplify right side
    981.98x = 1,060,774.17
  5. Step 5: Solve for x
    x = 1,060,774.17/981.98
  6. Step 6: Final answer
    x = 1,080.25

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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.