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Finding the Fourth Proportional to 460.26, 690.73 and 338.85

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Solution

The fourth proportional to 460.26, 690.73 and 338.85 is: 508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.26 : 690.73 = 338.85 : x
  2. Step 2: Convert to fraction form
    460.26/690.73 = 338.85/x
  3. Step 3: Cross multiply
    460.26x = 690.73 × 338.85
  4. Step 4: Simplify right side
    460.26x = 234,053.01
  5. Step 5: Solve for x
    x = 234,053.01/460.26
  6. Step 6: Final answer
    x = 508.52

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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.