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Finding the Fourth Proportional to 460.26, 690.38 and 378.85

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Solution

The fourth proportional to 460.26, 690.38 and 378.85 is: 568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.26 : 690.38 = 378.85 : x
  2. Step 2: Convert to fraction form
    460.26/690.38 = 378.85/x
  3. Step 3: Cross multiply
    460.26x = 690.38 × 378.85
  4. Step 4: Simplify right side
    460.26x = 261,550.46
  5. Step 5: Solve for x
    x = 261,550.46/460.26
  6. Step 6: Final answer
    x = 568.27

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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.