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Finding the Fourth Proportional to 1,124.16, 1,684.41 and 969.71

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Solution

The fourth proportional to 1,124.16, 1,684.41 and 969.71 is: 1,452.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.16 : 1,684.41 = 969.71 : x
  2. Step 2: Convert to fraction form
    1,124.16/1,684.41 = 969.71/x
  3. Step 3: Cross multiply
    1,124.16x = 1,684.41 × 969.71
  4. Step 4: Simplify right side
    1,124.16x = 1,633,380.80
  5. Step 5: Solve for x
    x = 1,633,380.80/1,124.16
  6. Step 6: Final answer
    x = 1,452.98

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