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Finding the Fourth Proportional to 938.34, 1,294.91 and 545.37

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Solution

The fourth proportional to 938.34, 1,294.91 and 545.37 is: 752.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.34 : 1,294.91 = 545.37 : x
  2. Step 2: Convert to fraction form
    938.34/1,294.91 = 545.37/x
  3. Step 3: Cross multiply
    938.34x = 1,294.91 × 545.37
  4. Step 4: Simplify right side
    938.34x = 706,205.07
  5. Step 5: Solve for x
    x = 706,205.07/938.34
  6. Step 6: Final answer
    x = 752.61

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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.