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Finding the Fourth Proportional to 826.88, 1,240.74 and 518.68

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Solution

The fourth proportional to 826.88, 1,240.74 and 518.68 is: 778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.88 : 1,240.74 = 518.68 : x
  2. Step 2: Convert to fraction form
    826.88/1,240.74 = 518.68/x
  3. Step 3: Cross multiply
    826.88x = 1,240.74 × 518.68
  4. Step 4: Simplify right side
    826.88x = 643,547.02
  5. Step 5: Solve for x
    x = 643,547.02/826.88
  6. Step 6: Final answer
    x = 778.28

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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.