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Finding the Fourth Proportional to 1,161.76, 1,603.48 and 742

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Solution

The fourth proportional to 1,161.76, 1,603.48 and 742 is: 1,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.76 : 1,603.48 = 742 : x
  2. Step 2: Convert to fraction form
    1,161.76/1,603.48 = 742/x
  3. Step 3: Cross multiply
    1,161.76x = 1,603.48 × 742
  4. Step 4: Simplify right side
    1,161.76x = 1,189,782.16
  5. Step 5: Solve for x
    x = 1,189,782.16/1,161.76
  6. Step 6: Final answer
    x = 1,024.12

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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.