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Finding the Fourth Proportional to 771.11, 1,156.30 and 257.75

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Solution

The fourth proportional to 771.11, 1,156.30 and 257.75 is: 386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.11 : 1,156.30 = 257.75 : x
  2. Step 2: Convert to fraction form
    771.11/1,156.30 = 257.75/x
  3. Step 3: Cross multiply
    771.11x = 1,156.30 × 257.75
  4. Step 4: Simplify right side
    771.11x = 298,036.33
  5. Step 5: Solve for x
    x = 298,036.33/771.11
  6. Step 6: Final answer
    x = 386.50

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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.