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Finding the Fourth Proportional to 1,161.40, 1,602.51 and 741.82

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Solution

The fourth proportional to 1,161.40, 1,602.51 and 741.82 is: 1,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.40 : 1,602.51 = 741.82 : x
  2. Step 2: Convert to fraction form
    1,161.40/1,602.51 = 741.82/x
  3. Step 3: Cross multiply
    1,161.40x = 1,602.51 × 741.82
  4. Step 4: Simplify right side
    1,161.40x = 1,188,773.97
  5. Step 5: Solve for x
    x = 1,188,773.97/1,161.40
  6. Step 6: Final answer
    x = 1,023.57

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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.