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Finding the Fourth Proportional to 968.80, 1,453.15 and 568.31

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Solution

The fourth proportional to 968.80, 1,453.15 and 568.31 is: 852.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.80 : 1,453.15 = 568.31 : x
  2. Step 2: Convert to fraction form
    968.80/1,453.15 = 568.31/x
  3. Step 3: Cross multiply
    968.80x = 1,453.15 × 568.31
  4. Step 4: Simplify right side
    968.80x = 825,839.68
  5. Step 5: Solve for x
    x = 825,839.68/968.80
  6. Step 6: Final answer
    x = 852.44

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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.