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Finding the Fourth Proportional to 643.78, 886.38 and 567.98

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Solution

The fourth proportional to 643.78, 886.38 and 567.98 is: 782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.78 : 886.38 = 567.98 : x
  2. Step 2: Convert to fraction form
    643.78/886.38 = 567.98/x
  3. Step 3: Cross multiply
    643.78x = 886.38 × 567.98
  4. Step 4: Simplify right side
    643.78x = 503,448.33
  5. Step 5: Solve for x
    x = 503,448.33/643.78
  6. Step 6: Final answer
    x = 782.02

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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.