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Finding the Fourth Proportional to 833.92, 1,250.16 and 347.38

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Solution

The fourth proportional to 833.92, 1,250.16 and 347.38 is: 520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.92 : 1,250.16 = 347.38 : x
  2. Step 2: Convert to fraction form
    833.92/1,250.16 = 347.38/x
  3. Step 3: Cross multiply
    833.92x = 1,250.16 × 347.38
  4. Step 4: Simplify right side
    833.92x = 434,280.58
  5. Step 5: Solve for x
    x = 434,280.58/833.92
  6. Step 6: Final answer
    x = 520.77

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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.