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Finding the Fourth Proportional to 424.89, 637.07 and 287.73

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Solution

The fourth proportional to 424.89, 637.07 and 287.73 is: 431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.89 : 637.07 = 287.73 : x
  2. Step 2: Convert to fraction form
    424.89/637.07 = 287.73/x
  3. Step 3: Cross multiply
    424.89x = 637.07 × 287.73
  4. Step 4: Simplify right side
    424.89x = 183,302.71
  5. Step 5: Solve for x
    x = 183,302.71/424.89
  6. Step 6: Final answer
    x = 431.41

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