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Finding the Fourth Proportional to 960.01, 1,324.80 and 540.35

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Solution

The fourth proportional to 960.01, 1,324.80 and 540.35 is: 745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.01 : 1,324.80 = 540.35 : x
  2. Step 2: Convert to fraction form
    960.01/1,324.80 = 540.35/x
  3. Step 3: Cross multiply
    960.01x = 1,324.80 × 540.35
  4. Step 4: Simplify right side
    960.01x = 715,855.68
  5. Step 5: Solve for x
    x = 715,855.68/960.01
  6. Step 6: Final answer
    x = 745.68

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1.5x scale

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.