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Finding the Fourth Proportional to 677.41, 935.49 and 578.59

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Solution

The fourth proportional to 677.41, 935.49 and 578.59 is: 799.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.41 : 935.49 = 578.59 : x
  2. Step 2: Convert to fraction form
    677.41/935.49 = 578.59/x
  3. Step 3: Cross multiply
    677.41x = 935.49 × 578.59
  4. Step 4: Simplify right side
    677.41x = 541,265.16
  5. Step 5: Solve for x
    x = 541,265.16/677.41
  6. Step 6: Final answer
    x = 799.02

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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.