Home / 1,027.10-1,541.30-565.18

Finding the Fourth Proportional to 1,027.10, 1,541.30 and 565.18

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Solution

The fourth proportional to 1,027.10, 1,541.30 and 565.18 is: 848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.10 : 1,541.30 = 565.18 : x
  2. Step 2: Convert to fraction form
    1,027.10/1,541.30 = 565.18/x
  3. Step 3: Cross multiply
    1,027.10x = 1,541.30 × 565.18
  4. Step 4: Simplify right side
    1,027.10x = 871,105.25
  5. Step 5: Solve for x
    x = 871,105.25/1,027.10
  6. Step 6: Final answer
    x = 848.12

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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.