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Finding the Fourth Proportional to 624.99, 936.42 and 442.04

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Solution

The fourth proportional to 624.99, 936.42 and 442.04 is: 662.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.99 : 936.42 = 442.04 : x
  2. Step 2: Convert to fraction form
    624.99/936.42 = 442.04/x
  3. Step 3: Cross multiply
    624.99x = 936.42 × 442.04
  4. Step 4: Simplify right side
    624.99x = 413,935.10
  5. Step 5: Solve for x
    x = 413,935.10/624.99
  6. Step 6: Final answer
    x = 662.31

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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.