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Finding the Fourth Proportional to 1,260.52, 1,890.16 and 382.87

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Solution

The fourth proportional to 1,260.52, 1,890.16 and 382.87 is: 574.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.52 : 1,890.16 = 382.87 : x
  2. Step 2: Convert to fraction form
    1,260.52/1,890.16 = 382.87/x
  3. Step 3: Cross multiply
    1,260.52x = 1,890.16 × 382.87
  4. Step 4: Simplify right side
    1,260.52x = 723,685.56
  5. Step 5: Solve for x
    x = 723,685.56/1,260.52
  6. Step 6: Final answer
    x = 574.12

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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.