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Finding the Fourth Proportional to 611.17, 843.80 and 378.70

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Solution

The fourth proportional to 611.17, 843.80 and 378.70 is: 522.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.17 : 843.80 = 378.70 : x
  2. Step 2: Convert to fraction form
    611.17/843.80 = 378.70/x
  3. Step 3: Cross multiply
    611.17x = 843.80 × 378.70
  4. Step 4: Simplify right side
    611.17x = 319,543.06
  5. Step 5: Solve for x
    x = 319,543.06/611.17
  6. Step 6: Final answer
    x = 522.84

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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.