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Finding the Fourth Proportional to 460.89, 691.77 and 338.78

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Solution

The fourth proportional to 460.89, 691.77 and 338.78 is: 508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.89 : 691.77 = 338.78 : x
  2. Step 2: Convert to fraction form
    460.89/691.77 = 338.78/x
  3. Step 3: Cross multiply
    460.89x = 691.77 × 338.78
  4. Step 4: Simplify right side
    460.89x = 234,360.84
  5. Step 5: Solve for x
    x = 234,360.84/460.89
  6. Step 6: Final answer
    x = 508.50

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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.