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Finding the Fourth Proportional to 1,135.49, 1,701.66 and 550.25

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Solution

The fourth proportional to 1,135.49, 1,701.66 and 550.25 is: 824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.49 : 1,701.66 = 550.25 : x
  2. Step 2: Convert to fraction form
    1,135.49/1,701.66 = 550.25/x
  3. Step 3: Cross multiply
    1,135.49x = 1,701.66 × 550.25
  4. Step 4: Simplify right side
    1,135.49x = 936,338.42
  5. Step 5: Solve for x
    x = 936,338.42/1,135.49
  6. Step 6: Final answer
    x = 824.61

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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.