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Finding the Fourth Proportional to 410.82, 616.95 and 378.26

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Solution

The fourth proportional to 410.82, 616.95 and 378.26 is: 568.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.82 : 616.95 = 378.26 : x
  2. Step 2: Convert to fraction form
    410.82/616.95 = 378.26/x
  3. Step 3: Cross multiply
    410.82x = 616.95 × 378.26
  4. Step 4: Simplify right side
    410.82x = 233,367.51
  5. Step 5: Solve for x
    x = 233,367.51/410.82
  6. Step 6: Final answer
    x = 568.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.