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Finding the Fourth Proportional to 699.39, 971.84 and 691.79

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Solution

The fourth proportional to 699.39, 971.84 and 691.79 is: 961.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.39 : 971.84 = 691.79 : x
  2. Step 2: Convert to fraction form
    699.39/971.84 = 691.79/x
  3. Step 3: Cross multiply
    699.39x = 971.84 × 691.79
  4. Step 4: Simplify right side
    699.39x = 672,313.35
  5. Step 5: Solve for x
    x = 672,313.35/699.39
  6. Step 6: Final answer
    x = 961.29

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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.