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Finding the Fourth Proportional to 1,052.36, 1,581.15 and 682.40

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Solution

The fourth proportional to 1,052.36, 1,581.15 and 682.40 is: 1,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.36 : 1,581.15 = 682.40 : x
  2. Step 2: Convert to fraction form
    1,052.36/1,581.15 = 682.40/x
  3. Step 3: Cross multiply
    1,052.36x = 1,581.15 × 682.40
  4. Step 4: Simplify right side
    1,052.36x = 1,078,976.76
  5. Step 5: Solve for x
    x = 1,078,976.76/1,052.36
  6. Step 6: Final answer
    x = 1,025.29

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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.