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Finding the Fourth Proportional to 608.95, 914.62 and 378.28

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Solution

The fourth proportional to 608.95, 914.62 and 378.28 is: 568.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.95 : 914.62 = 378.28 : x
  2. Step 2: Convert to fraction form
    608.95/914.62 = 378.28/x
  3. Step 3: Cross multiply
    608.95x = 914.62 × 378.28
  4. Step 4: Simplify right side
    608.95x = 345,982.45
  5. Step 5: Solve for x
    x = 345,982.45/608.95
  6. Step 6: Final answer
    x = 568.16

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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.