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Finding the Fourth Proportional to 424.05, 637.29 and 407.85

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Solution

The fourth proportional to 424.05, 637.29 and 407.85 is: 612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.05 : 637.29 = 407.85 : x
  2. Step 2: Convert to fraction form
    424.05/637.29 = 407.85/x
  3. Step 3: Cross multiply
    424.05x = 637.29 × 407.85
  4. Step 4: Simplify right side
    424.05x = 259,918.73
  5. Step 5: Solve for x
    x = 259,918.73/424.05
  6. Step 6: Final answer
    x = 612.94

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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.