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Finding the Fourth Proportional to 1,056.44, 1,584.66 and 674.12

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Solution

The fourth proportional to 1,056.44, 1,584.66 and 674.12 is: 1,011.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.44 : 1,584.66 = 674.12 : x
  2. Step 2: Convert to fraction form
    1,056.44/1,584.66 = 674.12/x
  3. Step 3: Cross multiply
    1,056.44x = 1,584.66 × 674.12
  4. Step 4: Simplify right side
    1,056.44x = 1,068,251.00
  5. Step 5: Solve for x
    x = 1,068,251.00/1,056.44
  6. Step 6: Final answer
    x = 1,011.18

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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.