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Finding the Fourth Proportional to 614.04, 847.44 and 378.05

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Solution

The fourth proportional to 614.04, 847.44 and 378.05 is: 521.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.04 : 847.44 = 378.05 : x
  2. Step 2: Convert to fraction form
    614.04/847.44 = 378.05/x
  3. Step 3: Cross multiply
    614.04x = 847.44 × 378.05
  4. Step 4: Simplify right side
    614.04x = 320,372.80
  5. Step 5: Solve for x
    x = 320,372.80/614.04
  6. Step 6: Final answer
    x = 521.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.