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Finding the Fourth Proportional to 704.36, 966.34 and 686.17

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Solution

The fourth proportional to 704.36, 966.34 and 686.17 is: 941.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.36 : 966.34 = 686.17 : x
  2. Step 2: Convert to fraction form
    704.36/966.34 = 686.17/x
  3. Step 3: Cross multiply
    704.36x = 966.34 × 686.17
  4. Step 4: Simplify right side
    704.36x = 663,076.55
  5. Step 5: Solve for x
    x = 663,076.55/704.36
  6. Step 6: Final answer
    x = 941.39

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1.5x scale

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.