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Finding the Fourth Proportional to 1,142.40, 1,720.29 and 997.86

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Solution

The fourth proportional to 1,142.40, 1,720.29 and 997.86 is: 1,502.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.40 : 1,720.29 = 997.86 : x
  2. Step 2: Convert to fraction form
    1,142.40/1,720.29 = 997.86/x
  3. Step 3: Cross multiply
    1,142.40x = 1,720.29 × 997.86
  4. Step 4: Simplify right side
    1,142.40x = 1,716,608.58
  5. Step 5: Solve for x
    x = 1,716,608.58/1,142.40
  6. Step 6: Final answer
    x = 1,502.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.