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Finding the Fourth Proportional to 1,356.72, 2,033.60 and 662.60

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Solution

The fourth proportional to 1,356.72, 2,033.60 and 662.60 is: 993.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.72 : 2,033.60 = 662.60 : x
  2. Step 2: Convert to fraction form
    1,356.72/2,033.60 = 662.60/x
  3. Step 3: Cross multiply
    1,356.72x = 2,033.60 × 662.60
  4. Step 4: Simplify right side
    1,356.72x = 1,347,463.36
  5. Step 5: Solve for x
    x = 1,347,463.36/1,356.72
  6. Step 6: Final answer
    x = 993.18

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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.