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Finding the Fourth Proportional to 833.65, 1,250.47 and 217.35

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Solution

The fourth proportional to 833.65, 1,250.47 and 217.35 is: 326.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.65 : 1,250.47 = 217.35 : x
  2. Step 2: Convert to fraction form
    833.65/1,250.47 = 217.35/x
  3. Step 3: Cross multiply
    833.65x = 1,250.47 × 217.35
  4. Step 4: Simplify right side
    833.65x = 271,789.65
  5. Step 5: Solve for x
    x = 271,789.65/833.65
  6. Step 6: Final answer
    x = 326.02

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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.