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Finding the Fourth Proportional to 788.40, 1,086.86 and 551.62

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Solution

The fourth proportional to 788.40, 1,086.86 and 551.62 is: 760.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.40 : 1,086.86 = 551.62 : x
  2. Step 2: Convert to fraction form
    788.40/1,086.86 = 551.62/x
  3. Step 3: Cross multiply
    788.40x = 1,086.86 × 551.62
  4. Step 4: Simplify right side
    788.40x = 599,529.54
  5. Step 5: Solve for x
    x = 599,529.54/788.40
  6. Step 6: Final answer
    x = 760.44

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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.