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Finding the Fourth Proportional to 1,568.79, 2,164.46 and 1,102.23

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Solution

The fourth proportional to 1,568.79, 2,164.46 and 1,102.23 is: 1,520.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.79 : 2,164.46 = 1,102.23 : x
  2. Step 2: Convert to fraction form
    1,568.79/2,164.46 = 1,102.23/x
  3. Step 3: Cross multiply
    1,568.79x = 2,164.46 × 1,102.23
  4. Step 4: Simplify right side
    1,568.79x = 2,385,727.23
  5. Step 5: Solve for x
    x = 2,385,727.23/1,568.79
  6. Step 6: Final answer
    x = 1,520.74

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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.