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Finding the Fourth Proportional to 933.80, 1,398.66 and 769.64

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Solution

The fourth proportional to 933.80, 1,398.66 and 769.64 is: 1,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.80 : 1,398.66 = 769.64 : x
  2. Step 2: Convert to fraction form
    933.80/1,398.66 = 769.64/x
  3. Step 3: Cross multiply
    933.80x = 1,398.66 × 769.64
  4. Step 4: Simplify right side
    933.80x = 1,076,464.68
  5. Step 5: Solve for x
    x = 1,076,464.68/933.80
  6. Step 6: Final answer
    x = 1,152.78

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Why These Related Problems?

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