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Finding the Fourth Proportional to 410.40, 616.41 and 372.33

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Solution

The fourth proportional to 410.40, 616.41 and 372.33 is: 559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.40 : 616.41 = 372.33 : x
  2. Step 2: Convert to fraction form
    410.40/616.41 = 372.33/x
  3. Step 3: Cross multiply
    410.40x = 616.41 × 372.33
  4. Step 4: Simplify right side
    410.40x = 229,507.94
  5. Step 5: Solve for x
    x = 229,507.94/410.40
  6. Step 6: Final answer
    x = 559.23

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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.