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Finding the Fourth Proportional to 1,374.95, 2,062.47 and 401.15

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Solution

The fourth proportional to 1,374.95, 2,062.47 and 401.15 is: 601.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.95 : 2,062.47 = 401.15 : x
  2. Step 2: Convert to fraction form
    1,374.95/2,062.47 = 401.15/x
  3. Step 3: Cross multiply
    1,374.95x = 2,062.47 × 401.15
  4. Step 4: Simplify right side
    1,374.95x = 827,359.84
  5. Step 5: Solve for x
    x = 827,359.84/1,374.95
  6. Step 6: Final answer
    x = 601.74

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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.