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Finding the Fourth Proportional to 959.69, 1,324.50 and 540.21

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Solution

The fourth proportional to 959.69, 1,324.50 and 540.21 is: 745.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.69 : 1,324.50 = 540.21 : x
  2. Step 2: Convert to fraction form
    959.69/1,324.50 = 540.21/x
  3. Step 3: Cross multiply
    959.69x = 1,324.50 × 540.21
  4. Step 4: Simplify right side
    959.69x = 715,508.15
  5. Step 5: Solve for x
    x = 715,508.15/959.69
  6. Step 6: Final answer
    x = 745.56

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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.