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Finding the Fourth Proportional to 960.23, 1,324.95 and 540.59

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Solution

The fourth proportional to 960.23, 1,324.95 and 540.59 is: 745.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.23 : 1,324.95 = 540.59 : x
  2. Step 2: Convert to fraction form
    960.23/1,324.95 = 540.59/x
  3. Step 3: Cross multiply
    960.23x = 1,324.95 × 540.59
  4. Step 4: Simplify right side
    960.23x = 716,252.02
  5. Step 5: Solve for x
    x = 716,252.02/960.23
  6. Step 6: Final answer
    x = 745.92

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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.