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Finding the Fourth Proportional to 696.43, 961.55 and 457.57

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Solution

The fourth proportional to 696.43, 961.55 and 457.57 is: 631.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.43 : 961.55 = 457.57 : x
  2. Step 2: Convert to fraction form
    696.43/961.55 = 457.57/x
  3. Step 3: Cross multiply
    696.43x = 961.55 × 457.57
  4. Step 4: Simplify right side
    696.43x = 439,976.43
  5. Step 5: Solve for x
    x = 439,976.43/696.43
  6. Step 6: Final answer
    x = 631.76

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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.