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Finding the Fourth Proportional to 610.84, 843.10 and 397.78

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Solution

The fourth proportional to 610.84, 843.10 and 397.78 is: 549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.84 : 843.10 = 397.78 : x
  2. Step 2: Convert to fraction form
    610.84/843.10 = 397.78/x
  3. Step 3: Cross multiply
    610.84x = 843.10 × 397.78
  4. Step 4: Simplify right side
    610.84x = 335,363.11
  5. Step 5: Solve for x
    x = 335,363.11/610.84
  6. Step 6: Final answer
    x = 549.02

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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.