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Finding the Fourth Proportional to 696.62, 961.53 and 686.09

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Solution

The fourth proportional to 696.62, 961.53 and 686.09 is: 947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.62 : 961.53 = 686.09 : x
  2. Step 2: Convert to fraction form
    696.62/961.53 = 686.09/x
  3. Step 3: Cross multiply
    696.62x = 961.53 × 686.09
  4. Step 4: Simplify right side
    696.62x = 659,696.12
  5. Step 5: Solve for x
    x = 659,696.12/696.62
  6. Step 6: Final answer
    x = 947.00

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1.5x scale

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.