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Finding the Fourth Proportional to 1,427, 2,140.86 and 401

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Solution

The fourth proportional to 1,427, 2,140.86 and 401 is: 601.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427 : 2,140.86 = 401 : x
  2. Step 2: Convert to fraction form
    1,427/2,140.86 = 401/x
  3. Step 3: Cross multiply
    1,427x = 2,140.86 × 401
  4. Step 4: Simplify right side
    1,427x = 858,484.86
  5. Step 5: Solve for x
    x = 858,484.86/1,427
  6. Step 6: Final answer
    x = 601.60

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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.