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Finding the Fourth Proportional to 1,166.65, 1,749 and 550.01

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Solution

The fourth proportional to 1,166.65, 1,749 and 550.01 is: 824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.65 : 1,749 = 550.01 : x
  2. Step 2: Convert to fraction form
    1,166.65/1,749 = 550.01/x
  3. Step 3: Cross multiply
    1,166.65x = 1,749 × 550.01
  4. Step 4: Simplify right side
    1,166.65x = 961,967.49
  5. Step 5: Solve for x
    x = 961,967.49/1,166.65
  6. Step 6: Final answer
    x = 824.56

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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.