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Finding the Fourth Proportional to 938.05, 1,294.50 and 518.41

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Solution

The fourth proportional to 938.05, 1,294.50 and 518.41 is: 715.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.05 : 1,294.50 = 518.41 : x
  2. Step 2: Convert to fraction form
    938.05/1,294.50 = 518.41/x
  3. Step 3: Cross multiply
    938.05x = 1,294.50 × 518.41
  4. Step 4: Simplify right side
    938.05x = 671,081.75
  5. Step 5: Solve for x
    x = 671,081.75/938.05
  6. Step 6: Final answer
    x = 715.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.