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Finding the Fourth Proportional to 677.76, 935.81 and 467.83

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Solution

The fourth proportional to 677.76, 935.81 and 467.83 is: 645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.76 : 935.81 = 467.83 : x
  2. Step 2: Convert to fraction form
    677.76/935.81 = 467.83/x
  3. Step 3: Cross multiply
    677.76x = 935.81 × 467.83
  4. Step 4: Simplify right side
    677.76x = 437,799.99
  5. Step 5: Solve for x
    x = 437,799.99/677.76
  6. Step 6: Final answer
    x = 645.95

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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.