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Finding the Fourth Proportional to 696.40, 961 and 385.92

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Solution

The fourth proportional to 696.40, 961 and 385.92 is: 532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.40 : 961 = 385.92 : x
  2. Step 2: Convert to fraction form
    696.40/961 = 385.92/x
  3. Step 3: Cross multiply
    696.40x = 961 × 385.92
  4. Step 4: Simplify right side
    696.40x = 370,869.12
  5. Step 5: Solve for x
    x = 370,869.12/696.40
  6. Step 6: Final answer
    x = 532.55

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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.