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Finding the Fourth Proportional to 826.18, 1,239.20 and 501.46

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Solution

The fourth proportional to 826.18, 1,239.20 and 501.46 is: 752.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.18 : 1,239.20 = 501.46 : x
  2. Step 2: Convert to fraction form
    826.18/1,239.20 = 501.46/x
  3. Step 3: Cross multiply
    826.18x = 1,239.20 × 501.46
  4. Step 4: Simplify right side
    826.18x = 621,409.23
  5. Step 5: Solve for x
    x = 621,409.23/826.18
  6. Step 6: Final answer
    x = 752.15

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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.