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Finding the Fourth Proportional to 411.18, 570.08 and 397.68

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Solution

The fourth proportional to 411.18, 570.08 and 397.68 is: 551.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.18 : 570.08 = 397.68 : x
  2. Step 2: Convert to fraction form
    411.18/570.08 = 397.68/x
  3. Step 3: Cross multiply
    411.18x = 570.08 × 397.68
  4. Step 4: Simplify right side
    411.18x = 226,707.43
  5. Step 5: Solve for x
    x = 226,707.43/411.18
  6. Step 6: Final answer
    x = 551.36

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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.