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Finding the Fourth Proportional to 833.11, 1,149.69 and 460.07

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Solution

The fourth proportional to 833.11, 1,149.69 and 460.07 is: 634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.11 : 1,149.69 = 460.07 : x
  2. Step 2: Convert to fraction form
    833.11/1,149.69 = 460.07/x
  3. Step 3: Cross multiply
    833.11x = 1,149.69 × 460.07
  4. Step 4: Simplify right side
    833.11x = 528,937.88
  5. Step 5: Solve for x
    x = 528,937.88/833.11
  6. Step 6: Final answer
    x = 634.90

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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.