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Finding the Fourth Proportional to 1,142.64, 1,704.24 and 1,069.20

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Solution

The fourth proportional to 1,142.64, 1,704.24 and 1,069.20 is: 1,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.64 : 1,704.24 = 1,069.20 : x
  2. Step 2: Convert to fraction form
    1,142.64/1,704.24 = 1,069.20/x
  3. Step 3: Cross multiply
    1,142.64x = 1,704.24 × 1,069.20
  4. Step 4: Simplify right side
    1,142.64x = 1,822,173.41
  5. Step 5: Solve for x
    x = 1,822,173.41/1,142.64
  6. Step 6: Final answer
    x = 1,594.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.