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Finding the Fourth Proportional to 643.03, 885.35 and 567.23

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Solution

The fourth proportional to 643.03, 885.35 and 567.23 is: 780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.03 : 885.35 = 567.23 : x
  2. Step 2: Convert to fraction form
    643.03/885.35 = 567.23/x
  3. Step 3: Cross multiply
    643.03x = 885.35 × 567.23
  4. Step 4: Simplify right side
    643.03x = 502,198.97
  5. Step 5: Solve for x
    x = 502,198.97/643.03
  6. Step 6: Final answer
    x = 780.99

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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.