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Finding the Fourth Proportional to 1,157.54, 1,591.23 and 997.43

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Solution

The fourth proportional to 1,157.54, 1,591.23 and 997.43 is: 1,371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.54 : 1,591.23 = 997.43 : x
  2. Step 2: Convert to fraction form
    1,157.54/1,591.23 = 997.43/x
  3. Step 3: Cross multiply
    1,157.54x = 1,591.23 × 997.43
  4. Step 4: Simplify right side
    1,157.54x = 1,587,140.54
  5. Step 5: Solve for x
    x = 1,587,140.54/1,157.54
  6. Step 6: Final answer
    x = 1,371.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.