Home / 1,027.98-1,541.58-411.36

Finding the Fourth Proportional to 1,027.98, 1,541.58 and 411.36

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Solution

The fourth proportional to 1,027.98, 1,541.58 and 411.36 is: 616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.98 : 1,541.58 = 411.36 : x
  2. Step 2: Convert to fraction form
    1,027.98/1,541.58 = 411.36/x
  3. Step 3: Cross multiply
    1,027.98x = 1,541.58 × 411.36
  4. Step 4: Simplify right side
    1,027.98x = 634,144.35
  5. Step 5: Solve for x
    x = 634,144.35/1,027.98
  6. Step 6: Final answer
    x = 616.88

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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.