Home / 1,027.46-1,541.54-564.65

Finding the Fourth Proportional to 1,027.46, 1,541.54 and 564.65

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Solution

The fourth proportional to 1,027.46, 1,541.54 and 564.65 is: 847.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.46 : 1,541.54 = 564.65 : x
  2. Step 2: Convert to fraction form
    1,027.46/1,541.54 = 564.65/x
  3. Step 3: Cross multiply
    1,027.46x = 1,541.54 × 564.65
  4. Step 4: Simplify right side
    1,027.46x = 870,424.26
  5. Step 5: Solve for x
    x = 870,424.26/1,027.46
  6. Step 6: Final answer
    x = 847.16

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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.