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Finding the Fourth Proportional to 677.57, 935.05 and 397.75

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Solution

The fourth proportional to 677.57, 935.05 and 397.75 is: 548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.57 : 935.05 = 397.75 : x
  2. Step 2: Convert to fraction form
    677.57/935.05 = 397.75/x
  3. Step 3: Cross multiply
    677.57x = 935.05 × 397.75
  4. Step 4: Simplify right side
    677.57x = 371,916.14
  5. Step 5: Solve for x
    x = 371,916.14/677.57
  6. Step 6: Final answer
    x = 548.90

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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.