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Finding the Fourth Proportional to 398.62, 594.57 and 386.47

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Solution

The fourth proportional to 398.62, 594.57 and 386.47 is: 576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.62 : 594.57 = 386.47 : x
  2. Step 2: Convert to fraction form
    398.62/594.57 = 386.47/x
  3. Step 3: Cross multiply
    398.62x = 594.57 × 386.47
  4. Step 4: Simplify right side
    398.62x = 229,785.66
  5. Step 5: Solve for x
    x = 229,785.66/398.62
  6. Step 6: Final answer
    x = 576.45

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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.