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Finding the Fourth Proportional to 643.60, 882.37 and 631.92

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Solution

The fourth proportional to 643.60, 882.37 and 631.92 is: 866.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.60 : 882.37 = 631.92 : x
  2. Step 2: Convert to fraction form
    643.60/882.37 = 631.92/x
  3. Step 3: Cross multiply
    643.60x = 882.37 × 631.92
  4. Step 4: Simplify right side
    643.60x = 557,587.25
  5. Step 5: Solve for x
    x = 557,587.25/643.60
  6. Step 6: Final answer
    x = 866.36

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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.