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Finding the Fourth Proportional to 1,033.98, 1,550.96 and 400.74

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Solution

The fourth proportional to 1,033.98, 1,550.96 and 400.74 is: 601.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.98 : 1,550.96 = 400.74 : x
  2. Step 2: Convert to fraction form
    1,033.98/1,550.96 = 400.74/x
  3. Step 3: Cross multiply
    1,033.98x = 1,550.96 × 400.74
  4. Step 4: Simplify right side
    1,033.98x = 621,531.71
  5. Step 5: Solve for x
    x = 621,531.71/1,033.98
  6. Step 6: Final answer
    x = 601.11

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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.