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Finding the Fourth Proportional to 398.16, 600.78 and 383.76

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Solution

The fourth proportional to 398.16, 600.78 and 383.76 is: 579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.16 : 600.78 = 383.76 : x
  2. Step 2: Convert to fraction form
    398.16/600.78 = 383.76/x
  3. Step 3: Cross multiply
    398.16x = 600.78 × 383.76
  4. Step 4: Simplify right side
    398.16x = 230,555.33
  5. Step 5: Solve for x
    x = 230,555.33/398.16
  6. Step 6: Final answer
    x = 579.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.