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Finding the Fourth Proportional to 1,089.11, 1,630.15 and 568.37

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Solution

The fourth proportional to 1,089.11, 1,630.15 and 568.37 is: 850.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.11 : 1,630.15 = 568.37 : x
  2. Step 2: Convert to fraction form
    1,089.11/1,630.15 = 568.37/x
  3. Step 3: Cross multiply
    1,089.11x = 1,630.15 × 568.37
  4. Step 4: Simplify right side
    1,089.11x = 926,531.01
  5. Step 5: Solve for x
    x = 926,531.01/1,089.11
  6. Step 6: Final answer
    x = 850.72

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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.