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Finding the Fourth Proportional to 833.68, 1,245.91 and 614.75

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Solution

The fourth proportional to 833.68, 1,245.91 and 614.75 is: 918.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.68 : 1,245.91 = 614.75 : x
  2. Step 2: Convert to fraction form
    833.68/1,245.91 = 614.75/x
  3. Step 3: Cross multiply
    833.68x = 1,245.91 × 614.75
  4. Step 4: Simplify right side
    833.68x = 765,923.59
  5. Step 5: Solve for x
    x = 765,923.59/833.68
  6. Step 6: Final answer
    x = 918.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.