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Finding the Fourth Proportional to 460.82, 691.47 and 268.34

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Solution

The fourth proportional to 460.82, 691.47 and 268.34 is: 402.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.82 : 691.47 = 268.34 : x
  2. Step 2: Convert to fraction form
    460.82/691.47 = 268.34/x
  3. Step 3: Cross multiply
    460.82x = 691.47 × 268.34
  4. Step 4: Simplify right side
    460.82x = 185,549.06
  5. Step 5: Solve for x
    x = 185,549.06/460.82
  6. Step 6: Final answer
    x = 402.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.