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Finding the Fourth Proportional to 696.12, 961.00 and 538.40

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Solution

The fourth proportional to 696.12, 961.00 and 538.40 is: 743.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.12 : 961.00 = 538.40 : x
  2. Step 2: Convert to fraction form
    696.12/961.00 = 538.40/x
  3. Step 3: Cross multiply
    696.12x = 961.00 × 538.40
  4. Step 4: Simplify right side
    696.12x = 517,399.57
  5. Step 5: Solve for x
    x = 517,399.57/696.12
  6. Step 6: Final answer
    x = 743.26

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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.