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Finding the Fourth Proportional to 1,257.77, 1,886.65 and 380.27

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Solution

The fourth proportional to 1,257.77, 1,886.65 and 380.27 is: 570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.77 : 1,886.65 = 380.27 : x
  2. Step 2: Convert to fraction form
    1,257.77/1,886.65 = 380.27/x
  3. Step 3: Cross multiply
    1,257.77x = 1,886.65 × 380.27
  4. Step 4: Simplify right side
    1,257.77x = 717,436.40
  5. Step 5: Solve for x
    x = 717,436.40/1,257.77
  6. Step 6: Final answer
    x = 570.40

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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.