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Finding the Fourth Proportional to 677.44, 934.96 and 397.79

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Solution

The fourth proportional to 677.44, 934.96 and 397.79 is: 549.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.44 : 934.96 = 397.79 : x
  2. Step 2: Convert to fraction form
    677.44/934.96 = 397.79/x
  3. Step 3: Cross multiply
    677.44x = 934.96 × 397.79
  4. Step 4: Simplify right side
    677.44x = 371,917.74
  5. Step 5: Solve for x
    x = 371,917.74/677.44
  6. Step 6: Final answer
    x = 549.00

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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.