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Finding the Fourth Proportional to 398.84, 594.90 and 386.69

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Solution

The fourth proportional to 398.84, 594.90 and 386.69 is: 576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.84 : 594.90 = 386.69 : x
  2. Step 2: Convert to fraction form
    398.84/594.90 = 386.69/x
  3. Step 3: Cross multiply
    398.84x = 594.90 × 386.69
  4. Step 4: Simplify right side
    398.84x = 230,041.88
  5. Step 5: Solve for x
    x = 230,041.88/398.84
  6. Step 6: Final answer
    x = 576.78

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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.