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Finding the Fourth Proportional to 641.08, 884.37 and 401.77

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Solution

The fourth proportional to 641.08, 884.37 and 401.77 is: 554.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.08 : 884.37 = 401.77 : x
  2. Step 2: Convert to fraction form
    641.08/884.37 = 401.77/x
  3. Step 3: Cross multiply
    641.08x = 884.37 × 401.77
  4. Step 4: Simplify right side
    641.08x = 355,309.92
  5. Step 5: Solve for x
    x = 355,309.92/641.08
  6. Step 6: Final answer
    x = 554.24

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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.