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Finding the Fourth Proportional to 641.44, 880.04 and 625.12

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Solution

The fourth proportional to 641.44, 880.04 and 625.12 is: 857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.44 : 880.04 = 625.12 : x
  2. Step 2: Convert to fraction form
    641.44/880.04 = 625.12/x
  3. Step 3: Cross multiply
    641.44x = 880.04 × 625.12
  4. Step 4: Simplify right side
    641.44x = 550,130.60
  5. Step 5: Solve for x
    x = 550,130.60/641.44
  6. Step 6: Final answer
    x = 857.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.