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Finding the Fourth Proportional to 1,033.68, 1,550.34 and 384.42

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Solution

The fourth proportional to 1,033.68, 1,550.34 and 384.42 is: 576.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.68 : 1,550.34 = 384.42 : x
  2. Step 2: Convert to fraction form
    1,033.68/1,550.34 = 384.42/x
  3. Step 3: Cross multiply
    1,033.68x = 1,550.34 × 384.42
  4. Step 4: Simplify right side
    1,033.68x = 595,981.70
  5. Step 5: Solve for x
    x = 595,981.70/1,033.68
  6. Step 6: Final answer
    x = 576.56

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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.