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Finding the Fourth Proportional to 624.16, 936.26 and 407.89

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Solution

The fourth proportional to 624.16, 936.26 and 407.89 is: 611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.16 : 936.26 = 407.89 : x
  2. Step 2: Convert to fraction form
    624.16/936.26 = 407.89/x
  3. Step 3: Cross multiply
    624.16x = 936.26 × 407.89
  4. Step 4: Simplify right side
    624.16x = 381,891.09
  5. Step 5: Solve for x
    x = 381,891.09/624.16
  6. Step 6: Final answer
    x = 611.85

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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.