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Finding the Fourth Proportional to 833.33, 1,149.98 and 460.31

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Solution

The fourth proportional to 833.33, 1,149.98 and 460.31 is: 635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.33 : 1,149.98 = 460.31 : x
  2. Step 2: Convert to fraction form
    833.33/1,149.98 = 460.31/x
  3. Step 3: Cross multiply
    833.33x = 1,149.98 × 460.31
  4. Step 4: Simplify right side
    833.33x = 529,339.24
  5. Step 5: Solve for x
    x = 529,339.24/833.33
  6. Step 6: Final answer
    x = 635.21

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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.