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Finding the Fourth Proportional to 834.42, 1,256.22 and 732.36

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Solution

The fourth proportional to 834.42, 1,256.22 and 732.36 is: 1,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.42 : 1,256.22 = 732.36 : x
  2. Step 2: Convert to fraction form
    834.42/1,256.22 = 732.36/x
  3. Step 3: Cross multiply
    834.42x = 1,256.22 × 732.36
  4. Step 4: Simplify right side
    834.42x = 920,005.28
  5. Step 5: Solve for x
    x = 920,005.28/834.42
  6. Step 6: Final answer
    x = 1,102.57

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1.5x scale

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.