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Finding the Fourth Proportional to 471.27, 709.62 and 389.79

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Solution

The fourth proportional to 471.27, 709.62 and 389.79 is: 586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.27 : 709.62 = 389.79 : x
  2. Step 2: Convert to fraction form
    471.27/709.62 = 389.79/x
  3. Step 3: Cross multiply
    471.27x = 709.62 × 389.79
  4. Step 4: Simplify right side
    471.27x = 276,602.78
  5. Step 5: Solve for x
    x = 276,602.78/471.27
  6. Step 6: Final answer
    x = 586.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.