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Finding the Fourth Proportional to 833.22, 1,149.77 and 460.14

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Solution

The fourth proportional to 833.22, 1,149.77 and 460.14 is: 634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.22 : 1,149.77 = 460.14 : x
  2. Step 2: Convert to fraction form
    833.22/1,149.77 = 460.14/x
  3. Step 3: Cross multiply
    833.22x = 1,149.77 × 460.14
  4. Step 4: Simplify right side
    833.22x = 529,058.80
  5. Step 5: Solve for x
    x = 529,058.80/833.22
  6. Step 6: Final answer
    x = 634.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.