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Finding the Fourth Proportional to 397.78, 547.75 and 374.69

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Solution

The fourth proportional to 397.78, 547.75 and 374.69 is: 515.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.78 : 547.75 = 374.69 : x
  2. Step 2: Convert to fraction form
    397.78/547.75 = 374.69/x
  3. Step 3: Cross multiply
    397.78x = 547.75 × 374.69
  4. Step 4: Simplify right side
    397.78x = 205,236.45
  5. Step 5: Solve for x
    x = 205,236.45/397.78
  6. Step 6: Final answer
    x = 515.95

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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.