Home / 1,027.59-1,541.90-411.47

Finding the Fourth Proportional to 1,027.59, 1,541.90 and 411.47

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Solution

The fourth proportional to 1,027.59, 1,541.90 and 411.47 is: 617.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.59 : 1,541.90 = 411.47 : x
  2. Step 2: Convert to fraction form
    1,027.59/1,541.90 = 411.47/x
  3. Step 3: Cross multiply
    1,027.59x = 1,541.90 × 411.47
  4. Step 4: Simplify right side
    1,027.59x = 634,442.38
  5. Step 5: Solve for x
    x = 634,442.38/1,027.59
  6. Step 6: Final answer
    x = 617.41

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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.