Home / 1,027.40-1,541.34-334.10

Finding the Fourth Proportional to 1,027.40, 1,541.34 and 334.10

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Solution

The fourth proportional to 1,027.40, 1,541.34 and 334.10 is: 501.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.40 : 1,541.34 = 334.10 : x
  2. Step 2: Convert to fraction form
    1,027.40/1,541.34 = 334.10/x
  3. Step 3: Cross multiply
    1,027.40x = 1,541.34 × 334.10
  4. Step 4: Simplify right side
    1,027.40x = 514,961.69
  5. Step 5: Solve for x
    x = 514,961.69/1,027.40
  6. Step 6: Final answer
    x = 501.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.