Home / 1,027.27-1,541.67-564.96

Finding the Fourth Proportional to 1,027.27, 1,541.67 and 564.96

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Solution

The fourth proportional to 1,027.27, 1,541.67 and 564.96 is: 847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.27 : 1,541.67 = 564.96 : x
  2. Step 2: Convert to fraction form
    1,027.27/1,541.67 = 564.96/x
  3. Step 3: Cross multiply
    1,027.27x = 1,541.67 × 564.96
  4. Step 4: Simplify right side
    1,027.27x = 870,981.88
  5. Step 5: Solve for x
    x = 870,981.88/1,027.27
  6. Step 6: Final answer
    x = 847.86

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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.