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Finding the Fourth Proportional to 786.25, 1,089.86 and 773.18

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Solution

The fourth proportional to 786.25, 1,089.86 and 773.18 is: 1,071.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.25 : 1,089.86 = 773.18 : x
  2. Step 2: Convert to fraction form
    786.25/1,089.86 = 773.18/x
  3. Step 3: Cross multiply
    786.25x = 1,089.86 × 773.18
  4. Step 4: Simplify right side
    786.25x = 842,657.95
  5. Step 5: Solve for x
    x = 842,657.95/786.25
  6. Step 6: Final answer
    x = 1,071.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.