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Finding the Fourth Proportional to 624.41, 937.74 and 432.41

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Solution

The fourth proportional to 624.41, 937.74 and 432.41 is: 649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.41 : 937.74 = 432.41 : x
  2. Step 2: Convert to fraction form
    624.41/937.74 = 432.41/x
  3. Step 3: Cross multiply
    624.41x = 937.74 × 432.41
  4. Step 4: Simplify right side
    624.41x = 405,485.99
  5. Step 5: Solve for x
    x = 405,485.99/624.41
  6. Step 6: Final answer
    x = 649.39

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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.