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Finding the Fourth Proportional to 938.23, 1,408.26 and 678.53

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Solution

The fourth proportional to 938.23, 1,408.26 and 678.53 is: 1,018.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.23 : 1,408.26 = 678.53 : x
  2. Step 2: Convert to fraction form
    938.23/1,408.26 = 678.53/x
  3. Step 3: Cross multiply
    938.23x = 1,408.26 × 678.53
  4. Step 4: Simplify right side
    938.23x = 955,546.66
  5. Step 5: Solve for x
    x = 955,546.66/938.23
  6. Step 6: Final answer
    x = 1,018.46

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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.