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Finding the Fourth Proportional to 776, 1,162.78 and 659.97

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Solution

The fourth proportional to 776, 1,162.78 and 659.97 is: 988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    776 : 1,162.78 = 659.97 : x
  2. Step 2: Convert to fraction form
    776/1,162.78 = 659.97/x
  3. Step 3: Cross multiply
    776x = 1,162.78 × 659.97
  4. Step 4: Simplify right side
    776x = 767,394.10
  5. Step 5: Solve for x
    x = 767,394.10/776
  6. Step 6: Final answer
    x = 988.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.