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Finding the Fourth Proportional to 624.48, 937.02 and 419.13

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Solution

The fourth proportional to 624.48, 937.02 and 419.13 is: 628.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.48 : 937.02 = 419.13 : x
  2. Step 2: Convert to fraction form
    624.48/937.02 = 419.13/x
  3. Step 3: Cross multiply
    624.48x = 937.02 × 419.13
  4. Step 4: Simplify right side
    624.48x = 392,733.19
  5. Step 5: Solve for x
    x = 392,733.19/624.48
  6. Step 6: Final answer
    x = 628.90

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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.