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Finding the Fourth Proportional to 695.49, 958.85 and 537.84

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Solution

The fourth proportional to 695.49, 958.85 and 537.84 is: 741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.49 : 958.85 = 537.84 : x
  2. Step 2: Convert to fraction form
    695.49/958.85 = 537.84/x
  3. Step 3: Cross multiply
    695.49x = 958.85 × 537.84
  4. Step 4: Simplify right side
    695.49x = 515,700.40
  5. Step 5: Solve for x
    x = 515,700.40/695.49
  6. Step 6: Final answer
    x = 741.49

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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.