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Finding the Fourth Proportional to 696.72, 961.16 and 460.34

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Solution

The fourth proportional to 696.72, 961.16 and 460.34 is: 635.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.72 : 961.16 = 460.34 : x
  2. Step 2: Convert to fraction form
    696.72/961.16 = 460.34/x
  3. Step 3: Cross multiply
    696.72x = 961.16 × 460.34
  4. Step 4: Simplify right side
    696.72x = 442,460.39
  5. Step 5: Solve for x
    x = 442,460.39/696.72
  6. Step 6: Final answer
    x = 635.06

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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.