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Finding the Fourth Proportional to 771.32, 1,150.30 and 734.60

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Solution

The fourth proportional to 771.32, 1,150.30 and 734.60 is: 1,095.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.32 : 1,150.30 = 734.60 : x
  2. Step 2: Convert to fraction form
    771.32/1,150.30 = 734.60/x
  3. Step 3: Cross multiply
    771.32x = 1,150.30 × 734.60
  4. Step 4: Simplify right side
    771.32x = 845,010.38
  5. Step 5: Solve for x
    x = 845,010.38/771.32
  6. Step 6: Final answer
    x = 1,095.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.