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Finding the Fourth Proportional to 1,246.97, 1,870.78 and 381.29

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Solution

The fourth proportional to 1,246.97, 1,870.78 and 381.29 is: 572.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.97 : 1,870.78 = 381.29 : x
  2. Step 2: Convert to fraction form
    1,246.97/1,870.78 = 381.29/x
  3. Step 3: Cross multiply
    1,246.97x = 1,870.78 × 381.29
  4. Step 4: Simplify right side
    1,246.97x = 713,299.40
  5. Step 5: Solve for x
    x = 713,299.40/1,246.97
  6. Step 6: Final answer
    x = 572.02

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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.