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Finding the Fourth Proportional to 1,411.32, 2,116.44 and 833.52

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Solution

The fourth proportional to 1,411.32, 2,116.44 and 833.52 is: 1,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.32 : 2,116.44 = 833.52 : x
  2. Step 2: Convert to fraction form
    1,411.32/2,116.44 = 833.52/x
  3. Step 3: Cross multiply
    1,411.32x = 2,116.44 × 833.52
  4. Step 4: Simplify right side
    1,411.32x = 1,764,095.07
  5. Step 5: Solve for x
    x = 1,764,095.07/1,411.32
  6. Step 6: Final answer
    x = 1,249.96

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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.