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Finding the Fourth Proportional to 826.77, 1,240.05 and 278.91

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Solution

The fourth proportional to 826.77, 1,240.05 and 278.91 is: 418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.77 : 1,240.05 = 278.91 : x
  2. Step 2: Convert to fraction form
    826.77/1,240.05 = 278.91/x
  3. Step 3: Cross multiply
    826.77x = 1,240.05 × 278.91
  4. Step 4: Simplify right side
    826.77x = 345,862.35
  5. Step 5: Solve for x
    x = 345,862.35/826.77
  6. Step 6: Final answer
    x = 418.33

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1.5x scale

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.