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Finding the Fourth Proportional to 938.34, 1,293.57 and 657.72

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Solution

The fourth proportional to 938.34, 1,293.57 and 657.72 is: 906.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.34 : 1,293.57 = 657.72 : x
  2. Step 2: Convert to fraction form
    938.34/1,293.57 = 657.72/x
  3. Step 3: Cross multiply
    938.34x = 1,293.57 × 657.72
  4. Step 4: Simplify right side
    938.34x = 850,806.86
  5. Step 5: Solve for x
    x = 850,806.86/938.34
  6. Step 6: Final answer
    x = 906.71

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1.5x scale

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.