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Finding the Fourth Proportional to 1,161.69, 1,603.17 and 664.29

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Solution

The fourth proportional to 1,161.69, 1,603.17 and 664.29 is: 916.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.69 : 1,603.17 = 664.29 : x
  2. Step 2: Convert to fraction form
    1,161.69/1,603.17 = 664.29/x
  3. Step 3: Cross multiply
    1,161.69x = 1,603.17 × 664.29
  4. Step 4: Simplify right side
    1,161.69x = 1,064,969.80
  5. Step 5: Solve for x
    x = 1,064,969.80/1,161.69
  6. Step 6: Final answer
    x = 916.74

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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.