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Finding the Fourth Proportional to 624.43, 935.97 and 258.99

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Solution

The fourth proportional to 624.43, 935.97 and 258.99 is: 388.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.43 : 935.97 = 258.99 : x
  2. Step 2: Convert to fraction form
    624.43/935.97 = 258.99/x
  3. Step 3: Cross multiply
    624.43x = 935.97 × 258.99
  4. Step 4: Simplify right side
    624.43x = 242,406.87
  5. Step 5: Solve for x
    x = 242,406.87/624.43
  6. Step 6: Final answer
    x = 388.21

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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.