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Finding the Fourth Proportional to 1,257.14, 1,886.91 and 771.14

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Solution

The fourth proportional to 1,257.14, 1,886.91 and 771.14 is: 1,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.14 : 1,886.91 = 771.14 : x
  2. Step 2: Convert to fraction form
    1,257.14/1,886.91 = 771.14/x
  3. Step 3: Cross multiply
    1,257.14x = 1,886.91 × 771.14
  4. Step 4: Simplify right side
    1,257.14x = 1,455,071.78
  5. Step 5: Solve for x
    x = 1,455,071.78/1,257.14
  6. Step 6: Final answer
    x = 1,157.45

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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.