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Finding the Fourth Proportional to 1,033.98, 1,550.22 and 340.42

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Solution

The fourth proportional to 1,033.98, 1,550.22 and 340.42 is: 510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.98 : 1,550.22 = 340.42 : x
  2. Step 2: Convert to fraction form
    1,033.98/1,550.22 = 340.42/x
  3. Step 3: Cross multiply
    1,033.98x = 1,550.22 × 340.42
  4. Step 4: Simplify right side
    1,033.98x = 527,725.89
  5. Step 5: Solve for x
    x = 527,725.89/1,033.98
  6. Step 6: Final answer
    x = 510.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.