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Finding the Fourth Proportional to 826.24, 1,238.99 and 312.88

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Solution

The fourth proportional to 826.24, 1,238.99 and 312.88 is: 469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.24 : 1,238.99 = 312.88 : x
  2. Step 2: Convert to fraction form
    826.24/1,238.99 = 312.88/x
  3. Step 3: Cross multiply
    826.24x = 1,238.99 × 312.88
  4. Step 4: Simplify right side
    826.24x = 387,649.00
  5. Step 5: Solve for x
    x = 387,649.00/826.24
  6. Step 6: Final answer
    x = 469.18

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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.