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Finding the Fourth Proportional to 938.78, 1,408.00 and 353.83

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Solution

The fourth proportional to 938.78, 1,408.00 and 353.83 is: 530.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.78 : 1,408.00 = 353.83 : x
  2. Step 2: Convert to fraction form
    938.78/1,408.00 = 353.83/x
  3. Step 3: Cross multiply
    938.78x = 1,408.00 × 353.83
  4. Step 4: Simplify right side
    938.78x = 498,192.03
  5. Step 5: Solve for x
    x = 498,192.03/938.78
  6. Step 6: Final answer
    x = 530.68

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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.