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Finding the Fourth Proportional to 1,161.45, 1,602.26 and 741.59

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Solution

The fourth proportional to 1,161.45, 1,602.26 and 741.59 is: 1,023.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.45 : 1,602.26 = 741.59 : x
  2. Step 2: Convert to fraction form
    1,161.45/1,602.26 = 741.59/x
  3. Step 3: Cross multiply
    1,161.45x = 1,602.26 × 741.59
  4. Step 4: Simplify right side
    1,161.45x = 1,188,211.06
  5. Step 5: Solve for x
    x = 1,188,211.06/1,161.45
  6. Step 6: Final answer
    x = 1,023.04

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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.