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Finding the Fourth Proportional to 864.65, 1,193.49 and 550.10

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Solution

The fourth proportional to 864.65, 1,193.49 and 550.10 is: 759.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.65 : 1,193.49 = 550.10 : x
  2. Step 2: Convert to fraction form
    864.65/1,193.49 = 550.10/x
  3. Step 3: Cross multiply
    864.65x = 1,193.49 × 550.10
  4. Step 4: Simplify right side
    864.65x = 656,532.88
  5. Step 5: Solve for x
    x = 656,532.88/864.65
  6. Step 6: Final answer
    x = 759.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.