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Finding the Fourth Proportional to 789.32, 1,091.52 and 710.48

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Solution

The fourth proportional to 789.32, 1,091.52 and 710.48 is: 982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.32 : 1,091.52 = 710.48 : x
  2. Step 2: Convert to fraction form
    789.32/1,091.52 = 710.48/x
  3. Step 3: Cross multiply
    789.32x = 1,091.52 × 710.48
  4. Step 4: Simplify right side
    789.32x = 775,503.13
  5. Step 5: Solve for x
    x = 775,503.13/789.32
  6. Step 6: Final answer
    x = 982.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.