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Finding the Fourth Proportional to 411.52, 612.23 and 395.68

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Solution

The fourth proportional to 411.52, 612.23 and 395.68 is: 588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.52 : 612.23 = 395.68 : x
  2. Step 2: Convert to fraction form
    411.52/612.23 = 395.68/x
  3. Step 3: Cross multiply
    411.52x = 612.23 × 395.68
  4. Step 4: Simplify right side
    411.52x = 242,247.17
  5. Step 5: Solve for x
    x = 242,247.17/411.52
  6. Step 6: Final answer
    x = 588.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.