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Finding the Fourth Proportional to 624.96, 936.48 and 408.72

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Solution

The fourth proportional to 624.96, 936.48 and 408.72 is: 612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.96 : 936.48 = 408.72 : x
  2. Step 2: Convert to fraction form
    624.96/936.48 = 408.72/x
  3. Step 3: Cross multiply
    624.96x = 936.48 × 408.72
  4. Step 4: Simplify right side
    624.96x = 382,758.11
  5. Step 5: Solve for x
    x = 382,758.11/624.96
  6. Step 6: Final answer
    x = 612.45

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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.