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Finding the Fourth Proportional to 411.91, 615.45 and 397.56

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Solution

The fourth proportional to 411.91, 615.45 and 397.56 is: 594.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.91 : 615.45 = 397.56 : x
  2. Step 2: Convert to fraction form
    411.91/615.45 = 397.56/x
  3. Step 3: Cross multiply
    411.91x = 615.45 × 397.56
  4. Step 4: Simplify right side
    411.91x = 244,678.64
  5. Step 5: Solve for x
    x = 244,678.64/411.91
  6. Step 6: Final answer
    x = 594.01

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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.