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Finding the Fourth Proportional to 833.90, 1,251.06 and 347

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Solution

The fourth proportional to 833.90, 1,251.06 and 347 is: 520.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.90 : 1,251.06 = 347 : x
  2. Step 2: Convert to fraction form
    833.90/1,251.06 = 347/x
  3. Step 3: Cross multiply
    833.90x = 1,251.06 × 347
  4. Step 4: Simplify right side
    833.90x = 434,117.82
  5. Step 5: Solve for x
    x = 434,117.82/833.90
  6. Step 6: Final answer
    x = 520.59

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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.