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Finding the Fourth Proportional to 1,161.48, 1,603.59 and 742.29

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Solution

The fourth proportional to 1,161.48, 1,603.59 and 742.29 is: 1,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.48 : 1,603.59 = 742.29 : x
  2. Step 2: Convert to fraction form
    1,161.48/1,603.59 = 742.29/x
  3. Step 3: Cross multiply
    1,161.48x = 1,603.59 × 742.29
  4. Step 4: Simplify right side
    1,161.48x = 1,190,328.82
  5. Step 5: Solve for x
    x = 1,190,328.82/1,161.48
  6. Step 6: Final answer
    x = 1,024.84

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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.