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Finding the Fourth Proportional to 614.22, 847.29 and 378.24

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Solution

The fourth proportional to 614.22, 847.29 and 378.24 is: 521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.22 : 847.29 = 378.24 : x
  2. Step 2: Convert to fraction form
    614.22/847.29 = 378.24/x
  3. Step 3: Cross multiply
    614.22x = 847.29 × 378.24
  4. Step 4: Simplify right side
    614.22x = 320,477.21
  5. Step 5: Solve for x
    x = 320,477.21/614.22
  6. Step 6: Final answer
    x = 521.77

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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.