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Finding the Fourth Proportional to 694.85, 965.43 and 686.12

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Solution

The fourth proportional to 694.85, 965.43 and 686.12 is: 953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.85 : 965.43 = 686.12 : x
  2. Step 2: Convert to fraction form
    694.85/965.43 = 686.12/x
  3. Step 3: Cross multiply
    694.85x = 965.43 × 686.12
  4. Step 4: Simplify right side
    694.85x = 662,396.00
  5. Step 5: Solve for x
    x = 662,396.00/694.85
  6. Step 6: Final answer
    x = 953.30

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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.