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Finding the Fourth Proportional to 695.29, 954.39 and 614.84

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Solution

The fourth proportional to 695.29, 954.39 and 614.84 is: 843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.29 : 954.39 = 614.84 : x
  2. Step 2: Convert to fraction form
    695.29/954.39 = 614.84/x
  3. Step 3: Cross multiply
    695.29x = 954.39 × 614.84
  4. Step 4: Simplify right side
    695.29x = 586,801.32
  5. Step 5: Solve for x
    x = 586,801.32/695.29
  6. Step 6: Final answer
    x = 843.96

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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.