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Finding the Fourth Proportional to 411.40, 570.91 and 395.56

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Solution

The fourth proportional to 411.40, 570.91 and 395.56 is: 548.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.40 : 570.91 = 395.56 : x
  2. Step 2: Convert to fraction form
    411.40/570.91 = 395.56/x
  3. Step 3: Cross multiply
    411.40x = 570.91 × 395.56
  4. Step 4: Simplify right side
    411.40x = 225,829.16
  5. Step 5: Solve for x
    x = 225,829.16/411.40
  6. Step 6: Final answer
    x = 548.93

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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.