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Finding the Fourth Proportional to 826.68, 1,240.16 and 415.74

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Solution

The fourth proportional to 826.68, 1,240.16 and 415.74 is: 623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.68 : 1,240.16 = 415.74 : x
  2. Step 2: Convert to fraction form
    826.68/1,240.16 = 415.74/x
  3. Step 3: Cross multiply
    826.68x = 1,240.16 × 415.74
  4. Step 4: Simplify right side
    826.68x = 515,584.12
  5. Step 5: Solve for x
    x = 515,584.12/826.68
  6. Step 6: Final answer
    x = 623.68

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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.