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Finding the Fourth Proportional to 1,033.52, 1,550.56 and 303.36

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Solution

The fourth proportional to 1,033.52, 1,550.56 and 303.36 is: 455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.52 : 1,550.56 = 303.36 : x
  2. Step 2: Convert to fraction form
    1,033.52/1,550.56 = 303.36/x
  3. Step 3: Cross multiply
    1,033.52x = 1,550.56 × 303.36
  4. Step 4: Simplify right side
    1,033.52x = 470,377.88
  5. Step 5: Solve for x
    x = 470,377.88/1,033.52
  6. Step 6: Final answer
    x = 455.12

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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.