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Finding the Fourth Proportional to 1,427.01, 2,140.52 and 453.20

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Solution

The fourth proportional to 1,427.01, 2,140.52 and 453.20 is: 679.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.01 : 2,140.52 = 453.20 : x
  2. Step 2: Convert to fraction form
    1,427.01/2,140.52 = 453.20/x
  3. Step 3: Cross multiply
    1,427.01x = 2,140.52 × 453.20
  4. Step 4: Simplify right side
    1,427.01x = 970,083.66
  5. Step 5: Solve for x
    x = 970,083.66/1,427.01
  6. Step 6: Final answer
    x = 679.80

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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.