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Finding the Fourth Proportional to 643.84, 882.80 and 581.44

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Solution

The fourth proportional to 643.84, 882.80 and 581.44 is: 797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.84 : 882.80 = 581.44 : x
  2. Step 2: Convert to fraction form
    643.84/882.80 = 581.44/x
  3. Step 3: Cross multiply
    643.84x = 882.80 × 581.44
  4. Step 4: Simplify right side
    643.84x = 513,295.23
  5. Step 5: Solve for x
    x = 513,295.23/643.84
  6. Step 6: Final answer
    x = 797.24

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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.