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Finding the Fourth Proportional to 644.23, 967.65 and 568.90

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Solution

The fourth proportional to 644.23, 967.65 and 568.90 is: 854.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.23 : 967.65 = 568.90 : x
  2. Step 2: Convert to fraction form
    644.23/967.65 = 568.90/x
  3. Step 3: Cross multiply
    644.23x = 967.65 × 568.90
  4. Step 4: Simplify right side
    644.23x = 550,496.09
  5. Step 5: Solve for x
    x = 550,496.09/644.23
  6. Step 6: Final answer
    x = 854.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.