Home / 1,497.41-2,246.19-401.78

Finding the Fourth Proportional to 1,497.41, 2,246.19 and 401.78

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Solution

The fourth proportional to 1,497.41, 2,246.19 and 401.78 is: 602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.41 : 2,246.19 = 401.78 : x
  2. Step 2: Convert to fraction form
    1,497.41/2,246.19 = 401.78/x
  3. Step 3: Cross multiply
    1,497.41x = 2,246.19 × 401.78
  4. Step 4: Simplify right side
    1,497.41x = 902,474.22
  5. Step 5: Solve for x
    x = 902,474.22/1,497.41
  6. Step 6: Final answer
    x = 602.69

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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.