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Finding the Fourth Proportional to 514.44, 772.78 and 378.36

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Solution

The fourth proportional to 514.44, 772.78 and 378.36 is: 568.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.44 : 772.78 = 378.36 : x
  2. Step 2: Convert to fraction form
    514.44/772.78 = 378.36/x
  3. Step 3: Cross multiply
    514.44x = 772.78 × 378.36
  4. Step 4: Simplify right side
    514.44x = 292,389.04
  5. Step 5: Solve for x
    x = 292,389.04/514.44
  6. Step 6: Final answer
    x = 568.36

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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.