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Finding the Fourth Proportional to 460.82, 690.64 and 229.79

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Solution

The fourth proportional to 460.82, 690.64 and 229.79 is: 344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.82 : 690.64 = 229.79 : x
  2. Step 2: Convert to fraction form
    460.82/690.64 = 229.79/x
  3. Step 3: Cross multiply
    460.82x = 690.64 × 229.79
  4. Step 4: Simplify right side
    460.82x = 158,702.17
  5. Step 5: Solve for x
    x = 158,702.17/460.82
  6. Step 6: Final answer
    x = 344.39

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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.