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Finding the Fourth Proportional to 711.17, 1,066.47 and 321.16

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Solution

The fourth proportional to 711.17, 1,066.47 and 321.16 is: 481.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.17 : 1,066.47 = 321.16 : x
  2. Step 2: Convert to fraction form
    711.17/1,066.47 = 321.16/x
  3. Step 3: Cross multiply
    711.17x = 1,066.47 × 321.16
  4. Step 4: Simplify right side
    711.17x = 342,507.44
  5. Step 5: Solve for x
    x = 342,507.44/711.17
  6. Step 6: Final answer
    x = 481.61

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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.