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Finding the Fourth Proportional to 696.23, 961.58 and 548.41

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Solution

The fourth proportional to 696.23, 961.58 and 548.41 is: 757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.23 : 961.58 = 548.41 : x
  2. Step 2: Convert to fraction form
    696.23/961.58 = 548.41/x
  3. Step 3: Cross multiply
    696.23x = 961.58 × 548.41
  4. Step 4: Simplify right side
    696.23x = 527,340.09
  5. Step 5: Solve for x
    x = 527,340.09/696.23
  6. Step 6: Final answer
    x = 757.42

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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.