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Finding the Fourth Proportional to 411.27, 570.24 and 389.40

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Solution

The fourth proportional to 411.27, 570.24 and 389.40 is: 539.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.27 : 570.24 = 389.40 : x
  2. Step 2: Convert to fraction form
    411.27/570.24 = 389.40/x
  3. Step 3: Cross multiply
    411.27x = 570.24 × 389.40
  4. Step 4: Simplify right side
    411.27x = 222,051.46
  5. Step 5: Solve for x
    x = 222,051.46/411.27
  6. Step 6: Final answer
    x = 539.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.