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Finding the Fourth Proportional to 1,329.85, 1,836.35 and 833.34

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Solution

The fourth proportional to 1,329.85, 1,836.35 and 833.34 is: 1,150.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.85 : 1,836.35 = 833.34 : x
  2. Step 2: Convert to fraction form
    1,329.85/1,836.35 = 833.34/x
  3. Step 3: Cross multiply
    1,329.85x = 1,836.35 × 833.34
  4. Step 4: Simplify right side
    1,329.85x = 1,530,299.74
  5. Step 5: Solve for x
    x = 1,530,299.74/1,329.85
  6. Step 6: Final answer
    x = 1,150.74

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1.5x scale

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.