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Finding the Fourth Proportional to 791.50, 1,091.10 and 651.28

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Solution

The fourth proportional to 791.50, 1,091.10 and 651.28 is: 897.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.50 : 1,091.10 = 651.28 : x
  2. Step 2: Convert to fraction form
    791.50/1,091.10 = 651.28/x
  3. Step 3: Cross multiply
    791.50x = 1,091.10 × 651.28
  4. Step 4: Simplify right side
    791.50x = 710,611.61
  5. Step 5: Solve for x
    x = 710,611.61/791.50
  6. Step 6: Final answer
    x = 897.80

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