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Finding the Fourth Proportional to 1,193.97, 1,645.74 and 913.71

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Solution

The fourth proportional to 1,193.97, 1,645.74 and 913.71 is: 1,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.97 : 1,645.74 = 913.71 : x
  2. Step 2: Convert to fraction form
    1,193.97/1,645.74 = 913.71/x
  3. Step 3: Cross multiply
    1,193.97x = 1,645.74 × 913.71
  4. Step 4: Simplify right side
    1,193.97x = 1,503,729.10
  5. Step 5: Solve for x
    x = 1,503,729.10/1,193.97
  6. Step 6: Final answer
    x = 1,259.44

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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.