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Finding the Fourth Proportional to 862.24, 1,190.40 and 568

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Solution

The fourth proportional to 862.24, 1,190.40 and 568 is: 784.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.24 : 1,190.40 = 568 : x
  2. Step 2: Convert to fraction form
    862.24/1,190.40 = 568/x
  3. Step 3: Cross multiply
    862.24x = 1,190.40 × 568
  4. Step 4: Simplify right side
    862.24x = 676,147.20
  5. Step 5: Solve for x
    x = 676,147.20/862.24
  6. Step 6: Final answer
    x = 784.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.