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Finding the Fourth Proportional to 1,033.90, 1,550.85 and 384.46

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Solution

The fourth proportional to 1,033.90, 1,550.85 and 384.46 is: 576.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.90 : 1,550.85 = 384.46 : x
  2. Step 2: Convert to fraction form
    1,033.90/1,550.85 = 384.46/x
  3. Step 3: Cross multiply
    1,033.90x = 1,550.85 × 384.46
  4. Step 4: Simplify right side
    1,033.90x = 596,239.79
  5. Step 5: Solve for x
    x = 596,239.79/1,033.90
  6. Step 6: Final answer
    x = 576.69

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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.