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Finding the Fourth Proportional to 1,319.83, 1,982.52 and 833.23

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Solution

The fourth proportional to 1,319.83, 1,982.52 and 833.23 is: 1,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.83 : 1,982.52 = 833.23 : x
  2. Step 2: Convert to fraction form
    1,319.83/1,982.52 = 833.23/x
  3. Step 3: Cross multiply
    1,319.83x = 1,982.52 × 833.23
  4. Step 4: Simplify right side
    1,319.83x = 1,651,895.14
  5. Step 5: Solve for x
    x = 1,651,895.14/1,319.83
  6. Step 6: Final answer
    x = 1,251.60

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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.