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Finding the Fourth Proportional to 641.84, 880.06 and 579.44

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Solution

The fourth proportional to 641.84, 880.06 and 579.44 is: 794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.84 : 880.06 = 579.44 : x
  2. Step 2: Convert to fraction form
    641.84/880.06 = 579.44/x
  3. Step 3: Cross multiply
    641.84x = 880.06 × 579.44
  4. Step 4: Simplify right side
    641.84x = 509,941.97
  5. Step 5: Solve for x
    x = 509,941.97/641.84
  6. Step 6: Final answer
    x = 794.50

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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.