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Finding the Fourth Proportional to 624.61, 937 and 213.63

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Solution

The fourth proportional to 624.61, 937 and 213.63 is: 320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.61 : 937 = 213.63 : x
  2. Step 2: Convert to fraction form
    624.61/937 = 213.63/x
  3. Step 3: Cross multiply
    624.61x = 937 × 213.63
  4. Step 4: Simplify right side
    624.61x = 200,171.31
  5. Step 5: Solve for x
    x = 200,171.31/624.61
  6. Step 6: Final answer
    x = 320.47

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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.