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Finding the Fourth Proportional to 695.88, 960.78 and 538.24

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Solution

The fourth proportional to 695.88, 960.78 and 538.24 is: 743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.88 : 960.78 = 538.24 : x
  2. Step 2: Convert to fraction form
    695.88/960.78 = 538.24/x
  3. Step 3: Cross multiply
    695.88x = 960.78 × 538.24
  4. Step 4: Simplify right side
    695.88x = 517,130.23
  5. Step 5: Solve for x
    x = 517,130.23/695.88
  6. Step 6: Final answer
    x = 743.13

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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.