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Finding the Fourth Proportional to 614.03, 847.36 and 334.26

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Solution

The fourth proportional to 614.03, 847.36 and 334.26 is: 461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.03 : 847.36 = 334.26 : x
  2. Step 2: Convert to fraction form
    614.03/847.36 = 334.26/x
  3. Step 3: Cross multiply
    614.03x = 847.36 × 334.26
  4. Step 4: Simplify right side
    614.03x = 283,238.55
  5. Step 5: Solve for x
    x = 283,238.55/614.03
  6. Step 6: Final answer
    x = 461.28

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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.