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Finding the Fourth Proportional to 833.04, 1,244.52 and 721.44

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Solution

The fourth proportional to 833.04, 1,244.52 and 721.44 is: 1,077.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.04 : 1,244.52 = 721.44 : x
  2. Step 2: Convert to fraction form
    833.04/1,244.52 = 721.44/x
  3. Step 3: Cross multiply
    833.04x = 1,244.52 × 721.44
  4. Step 4: Simplify right side
    833.04x = 897,846.51
  5. Step 5: Solve for x
    x = 897,846.51/833.04
  6. Step 6: Final answer
    x = 1,077.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.