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Finding the Fourth Proportional to 834.69, 1,256.90 and 689.81

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Solution

The fourth proportional to 834.69, 1,256.90 and 689.81 is: 1,038.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.69 : 1,256.90 = 689.81 : x
  2. Step 2: Convert to fraction form
    834.69/1,256.90 = 689.81/x
  3. Step 3: Cross multiply
    834.69x = 1,256.90 × 689.81
  4. Step 4: Simplify right side
    834.69x = 867,012.46
  5. Step 5: Solve for x
    x = 867,012.46/834.69
  6. Step 6: Final answer
    x = 1,038.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.