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Finding the Fourth Proportional to 756.65, 1,044.20 and 441.86

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Solution

The fourth proportional to 756.65, 1,044.20 and 441.86 is: 609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.65 : 1,044.20 = 441.86 : x
  2. Step 2: Convert to fraction form
    756.65/1,044.20 = 441.86/x
  3. Step 3: Cross multiply
    756.65x = 1,044.20 × 441.86
  4. Step 4: Simplify right side
    756.65x = 461,382.78
  5. Step 5: Solve for x
    x = 461,382.78/756.65
  6. Step 6: Final answer
    x = 609.77

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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.