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Finding the Fourth Proportional to 641.88, 886.42 and 573.16

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Solution

The fourth proportional to 641.88, 886.42 and 573.16 is: 791.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.88 : 886.42 = 573.16 : x
  2. Step 2: Convert to fraction form
    641.88/886.42 = 573.16/x
  3. Step 3: Cross multiply
    641.88x = 886.42 × 573.16
  4. Step 4: Simplify right side
    641.88x = 508,060.49
  5. Step 5: Solve for x
    x = 508,060.49/641.88
  6. Step 6: Final answer
    x = 791.52

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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.