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Finding the Fourth Proportional to 696.54, 960.89 and 540.21

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Solution

The fourth proportional to 696.54, 960.89 and 540.21 is: 745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.54 : 960.89 = 540.21 : x
  2. Step 2: Convert to fraction form
    696.54/960.89 = 540.21/x
  3. Step 3: Cross multiply
    696.54x = 960.89 × 540.21
  4. Step 4: Simplify right side
    696.54x = 519,079.69
  5. Step 5: Solve for x
    x = 519,079.69/696.54
  6. Step 6: Final answer
    x = 745.23

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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.