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Finding the Fourth Proportional to 696.69, 961.91 and 536.92

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Solution

The fourth proportional to 696.69, 961.91 and 536.92 is: 741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.69 : 961.91 = 536.92 : x
  2. Step 2: Convert to fraction form
    696.69/961.91 = 536.92/x
  3. Step 3: Cross multiply
    696.69x = 961.91 × 536.92
  4. Step 4: Simplify right side
    696.69x = 516,468.72
  5. Step 5: Solve for x
    x = 516,468.72/696.69
  6. Step 6: Final answer
    x = 741.32

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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.