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Finding the Fourth Proportional to 902.53, 1,356.83 and 721.90

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Solution

The fourth proportional to 902.53, 1,356.83 and 721.90 is: 1,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.53 : 1,356.83 = 721.90 : x
  2. Step 2: Convert to fraction form
    902.53/1,356.83 = 721.90/x
  3. Step 3: Cross multiply
    902.53x = 1,356.83 × 721.90
  4. Step 4: Simplify right side
    902.53x = 979,495.58
  5. Step 5: Solve for x
    x = 979,495.58/902.53
  6. Step 6: Final answer
    x = 1,085.28

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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.