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Finding the Fourth Proportional to 1,033.28, 1,550.72 and 456.16

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Solution

The fourth proportional to 1,033.28, 1,550.72 and 456.16 is: 684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.28 : 1,550.72 = 456.16 : x
  2. Step 2: Convert to fraction form
    1,033.28/1,550.72 = 456.16/x
  3. Step 3: Cross multiply
    1,033.28x = 1,550.72 × 456.16
  4. Step 4: Simplify right side
    1,033.28x = 707,376.44
  5. Step 5: Solve for x
    x = 707,376.44/1,033.28
  6. Step 6: Final answer
    x = 684.59

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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.