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Finding the Fourth Proportional to 613.41, 922.13 and 568.30

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Solution

The fourth proportional to 613.41, 922.13 and 568.30 is: 854.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.41 : 922.13 = 568.30 : x
  2. Step 2: Convert to fraction form
    613.41/922.13 = 568.30/x
  3. Step 3: Cross multiply
    613.41x = 922.13 × 568.30
  4. Step 4: Simplify right side
    613.41x = 524,048.39
  5. Step 5: Solve for x
    x = 524,048.39/613.41
  6. Step 6: Final answer
    x = 854.33

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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.