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Finding the Fourth Proportional to 696.95, 961.93 and 460.91

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Solution

The fourth proportional to 696.95, 961.93 and 460.91 is: 636.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.95 : 961.93 = 460.91 : x
  2. Step 2: Convert to fraction form
    696.95/961.93 = 460.91/x
  3. Step 3: Cross multiply
    696.95x = 961.93 × 460.91
  4. Step 4: Simplify right side
    696.95x = 443,367.94
  5. Step 5: Solve for x
    x = 443,367.94/696.95
  6. Step 6: Final answer
    x = 636.15

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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.