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Finding the Fourth Proportional to 402.32, 599.96 and 398.67

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Solution

The fourth proportional to 402.32, 599.96 and 398.67 is: 594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.32 : 599.96 = 398.67 : x
  2. Step 2: Convert to fraction form
    402.32/599.96 = 398.67/x
  3. Step 3: Cross multiply
    402.32x = 599.96 × 398.67
  4. Step 4: Simplify right side
    402.32x = 239,184.06
  5. Step 5: Solve for x
    x = 239,184.06/402.32
  6. Step 6: Final answer
    x = 594.51

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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.