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Finding the Fourth Proportional to 833.07, 1,149.78 and 496.99

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Solution

The fourth proportional to 833.07, 1,149.78 and 496.99 is: 685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.07 : 1,149.78 = 496.99 : x
  2. Step 2: Convert to fraction form
    833.07/1,149.78 = 496.99/x
  3. Step 3: Cross multiply
    833.07x = 1,149.78 × 496.99
  4. Step 4: Simplify right side
    833.07x = 571,432.57
  5. Step 5: Solve for x
    x = 571,432.57/833.07
  6. Step 6: Final answer
    x = 685.94

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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.