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Finding the Fourth Proportional to 624.29, 935.19 and 299.87

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Solution

The fourth proportional to 624.29, 935.19 and 299.87 is: 449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.29 : 935.19 = 299.87 : x
  2. Step 2: Convert to fraction form
    624.29/935.19 = 299.87/x
  3. Step 3: Cross multiply
    624.29x = 935.19 × 299.87
  4. Step 4: Simplify right side
    624.29x = 280,435.43
  5. Step 5: Solve for x
    x = 280,435.43/624.29
  6. Step 6: Final answer
    x = 449.21

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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.