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Finding the Fourth Proportional to 833.04, 1,249.45 and 486.54

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Solution

The fourth proportional to 833.04, 1,249.45 and 486.54 is: 729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.04 : 1,249.45 = 486.54 : x
  2. Step 2: Convert to fraction form
    833.04/1,249.45 = 486.54/x
  3. Step 3: Cross multiply
    833.04x = 1,249.45 × 486.54
  4. Step 4: Simplify right side
    833.04x = 607,906.19
  5. Step 5: Solve for x
    x = 607,906.19/833.04
  6. Step 6: Final answer
    x = 729.74

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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.