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Finding the Fourth Proportional to 826.14, 1,236.74 and 500.52

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Solution

The fourth proportional to 826.14, 1,236.74 and 500.52 is: 749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.14 : 1,236.74 = 500.52 : x
  2. Step 2: Convert to fraction form
    826.14/1,236.74 = 500.52/x
  3. Step 3: Cross multiply
    826.14x = 1,236.74 × 500.52
  4. Step 4: Simplify right side
    826.14x = 619,013.10
  5. Step 5: Solve for x
    x = 619,013.10/826.14
  6. Step 6: Final answer
    x = 749.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.