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Finding the Fourth Proportional to 695.78, 954.75 and 633.12

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Solution

The fourth proportional to 695.78, 954.75 and 633.12 is: 868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.78 : 954.75 = 633.12 : x
  2. Step 2: Convert to fraction form
    695.78/954.75 = 633.12/x
  3. Step 3: Cross multiply
    695.78x = 954.75 × 633.12
  4. Step 4: Simplify right side
    695.78x = 604,471.32
  5. Step 5: Solve for x
    x = 604,471.32/695.78
  6. Step 6: Final answer
    x = 868.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.