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Finding the Fourth Proportional to 695.44, 958.68 and 547.78

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Solution

The fourth proportional to 695.44, 958.68 and 547.78 is: 755.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.44 : 958.68 = 547.78 : x
  2. Step 2: Convert to fraction form
    695.44/958.68 = 547.78/x
  3. Step 3: Cross multiply
    695.44x = 958.68 × 547.78
  4. Step 4: Simplify right side
    695.44x = 525,145.73
  5. Step 5: Solve for x
    x = 525,145.73/695.44
  6. Step 6: Final answer
    x = 755.13

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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.