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Finding the Fourth Proportional to 826.53, 1,134.38 and 756.14

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Solution

The fourth proportional to 826.53, 1,134.38 and 756.14 is: 1,037.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.53 : 1,134.38 = 756.14 : x
  2. Step 2: Convert to fraction form
    826.53/1,134.38 = 756.14/x
  3. Step 3: Cross multiply
    826.53x = 1,134.38 × 756.14
  4. Step 4: Simplify right side
    826.53x = 857,749.15
  5. Step 5: Solve for x
    x = 857,749.15/826.53
  6. Step 6: Final answer
    x = 1,037.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.