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Finding the Fourth Proportional to 788.94, 1,090.71 and 664.62

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Solution

The fourth proportional to 788.94, 1,090.71 and 664.62 is: 918.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.94 : 1,090.71 = 664.62 : x
  2. Step 2: Convert to fraction form
    788.94/1,090.71 = 664.62/x
  3. Step 3: Cross multiply
    788.94x = 1,090.71 × 664.62
  4. Step 4: Simplify right side
    788.94x = 724,907.68
  5. Step 5: Solve for x
    x = 724,907.68/788.94
  6. Step 6: Final answer
    x = 918.84

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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.