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Finding the Fourth Proportional to 1,201.29, 1,658.12 and 729.33

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Solution

The fourth proportional to 1,201.29, 1,658.12 and 729.33 is: 1,006.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.29 : 1,658.12 = 729.33 : x
  2. Step 2: Convert to fraction form
    1,201.29/1,658.12 = 729.33/x
  3. Step 3: Cross multiply
    1,201.29x = 1,658.12 × 729.33
  4. Step 4: Simplify right side
    1,201.29x = 1,209,316.66
  5. Step 5: Solve for x
    x = 1,209,316.66/1,201.29
  6. Step 6: Final answer
    x = 1,006.68

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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.