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Finding the Fourth Proportional to 711.92, 1,066.84 and 382.60

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Solution

The fourth proportional to 711.92, 1,066.84 and 382.60 is: 573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.92 : 1,066.84 = 382.60 : x
  2. Step 2: Convert to fraction form
    711.92/1,066.84 = 382.60/x
  3. Step 3: Cross multiply
    711.92x = 1,066.84 × 382.60
  4. Step 4: Simplify right side
    711.92x = 408,169.51
  5. Step 5: Solve for x
    x = 408,169.51/711.92
  6. Step 6: Final answer
    x = 573.34

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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.