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Finding the Fourth Proportional to 695.09, 965.66 and 688.75

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Solution

The fourth proportional to 695.09, 965.66 and 688.75 is: 956.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.09 : 965.66 = 688.75 : x
  2. Step 2: Convert to fraction form
    695.09/965.66 = 688.75/x
  3. Step 3: Cross multiply
    695.09x = 965.66 × 688.75
  4. Step 4: Simplify right side
    695.09x = 665,093.50
  5. Step 5: Solve for x
    x = 665,093.50/695.09
  6. Step 6: Final answer
    x = 956.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.