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Finding the Fourth Proportional to 1,743.15, 2,405.40 and 997.11

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Solution

The fourth proportional to 1,743.15, 2,405.40 and 997.11 is: 1,375.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.15 : 2,405.40 = 997.11 : x
  2. Step 2: Convert to fraction form
    1,743.15/2,405.40 = 997.11/x
  3. Step 3: Cross multiply
    1,743.15x = 2,405.40 × 997.11
  4. Step 4: Simplify right side
    1,743.15x = 2,398,444.65
  5. Step 5: Solve for x
    x = 2,398,444.65/1,743.15
  6. Step 6: Final answer
    x = 1,375.92

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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.