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Finding the Fourth Proportional to 624.35, 936.61 and 207.74

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Solution

The fourth proportional to 624.35, 936.61 and 207.74 is: 311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.35 : 936.61 = 207.74 : x
  2. Step 2: Convert to fraction form
    624.35/936.61 = 207.74/x
  3. Step 3: Cross multiply
    624.35x = 936.61 × 207.74
  4. Step 4: Simplify right side
    624.35x = 194,573.18
  5. Step 5: Solve for x
    x = 194,573.18/624.35
  6. Step 6: Final answer
    x = 311.64

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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.