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Finding the Fourth Proportional to 677.66, 935.14 and 437.97

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Solution

The fourth proportional to 677.66, 935.14 and 437.97 is: 604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.66 : 935.14 = 437.97 : x
  2. Step 2: Convert to fraction form
    677.66/935.14 = 437.97/x
  3. Step 3: Cross multiply
    677.66x = 935.14 × 437.97
  4. Step 4: Simplify right side
    677.66x = 409,562.17
  5. Step 5: Solve for x
    x = 409,562.17/677.66
  6. Step 6: Final answer
    x = 604.37

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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.