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Finding the Fourth Proportional to 826.06, 1,238.12 and 501.64

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Solution

The fourth proportional to 826.06, 1,238.12 and 501.64 is: 751.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.06 : 1,238.12 = 501.64 : x
  2. Step 2: Convert to fraction form
    826.06/1,238.12 = 501.64/x
  3. Step 3: Cross multiply
    826.06x = 1,238.12 × 501.64
  4. Step 4: Simplify right side
    826.06x = 621,090.52
  5. Step 5: Solve for x
    x = 621,090.52/826.06
  6. Step 6: Final answer
    x = 751.87

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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.