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Finding the Fourth Proportional to 1,019.70, 1,405.17 and 724.14

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Solution

The fourth proportional to 1,019.70, 1,405.17 and 724.14 is: 997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.70 : 1,405.17 = 724.14 : x
  2. Step 2: Convert to fraction form
    1,019.70/1,405.17 = 724.14/x
  3. Step 3: Cross multiply
    1,019.70x = 1,405.17 × 724.14
  4. Step 4: Simplify right side
    1,019.70x = 1,017,539.80
  5. Step 5: Solve for x
    x = 1,017,539.80/1,019.70
  6. Step 6: Final answer
    x = 997.88

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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.