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Finding the Fourth Proportional to 938.16, 1,293.21 and 689.76

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Solution

The fourth proportional to 938.16, 1,293.21 and 689.76 is: 950.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.16 : 1,293.21 = 689.76 : x
  2. Step 2: Convert to fraction form
    938.16/1,293.21 = 689.76/x
  3. Step 3: Cross multiply
    938.16x = 1,293.21 × 689.76
  4. Step 4: Simplify right side
    938.16x = 892,004.53
  5. Step 5: Solve for x
    x = 892,004.53/938.16
  6. Step 6: Final answer
    x = 950.80

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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.