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Finding the Fourth Proportional to 711.57, 1,066.24 and 382.51

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Solution

The fourth proportional to 711.57, 1,066.24 and 382.51 is: 573.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.57 : 1,066.24 = 382.51 : x
  2. Step 2: Convert to fraction form
    711.57/1,066.24 = 382.51/x
  3. Step 3: Cross multiply
    711.57x = 1,066.24 × 382.51
  4. Step 4: Simplify right side
    711.57x = 407,847.46
  5. Step 5: Solve for x
    x = 407,847.46/711.57
  6. Step 6: Final answer
    x = 573.17

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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.