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Finding the Fourth Proportional to 1,257.77, 1,886.42 and 527.15

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Solution

The fourth proportional to 1,257.77, 1,886.42 and 527.15 is: 790.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.77 : 1,886.42 = 527.15 : x
  2. Step 2: Convert to fraction form
    1,257.77/1,886.42 = 527.15/x
  3. Step 3: Cross multiply
    1,257.77x = 1,886.42 × 527.15
  4. Step 4: Simplify right side
    1,257.77x = 994,414.24
  5. Step 5: Solve for x
    x = 994,414.24/1,257.77
  6. Step 6: Final answer
    x = 790.62

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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.