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Finding the Fourth Proportional to 771.03, 1,156.25 and 277.31

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Solution

The fourth proportional to 771.03, 1,156.25 and 277.31 is: 415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.03 : 1,156.25 = 277.31 : x
  2. Step 2: Convert to fraction form
    771.03/1,156.25 = 277.31/x
  3. Step 3: Cross multiply
    771.03x = 1,156.25 × 277.31
  4. Step 4: Simplify right side
    771.03x = 320,634.60
  5. Step 5: Solve for x
    x = 320,634.60/771.03
  6. Step 6: Final answer
    x = 415.85

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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.