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Finding the Fourth Proportional to 424.89, 637.74 and 398.39

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Solution

The fourth proportional to 424.89, 637.74 and 398.39 is: 597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.89 : 637.74 = 398.39 : x
  2. Step 2: Convert to fraction form
    424.89/637.74 = 398.39/x
  3. Step 3: Cross multiply
    424.89x = 637.74 × 398.39
  4. Step 4: Simplify right side
    424.89x = 254,066.05
  5. Step 5: Solve for x
    x = 254,066.05/424.89
  6. Step 6: Final answer
    x = 597.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.