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Finding the Fourth Proportional to 771.32, 1,155.13 and 441.26

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Solution

The fourth proportional to 771.32, 1,155.13 and 441.26 is: 660.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.32 : 1,155.13 = 441.26 : x
  2. Step 2: Convert to fraction form
    771.32/1,155.13 = 441.26/x
  3. Step 3: Cross multiply
    771.32x = 1,155.13 × 441.26
  4. Step 4: Simplify right side
    771.32x = 509,714.66
  5. Step 5: Solve for x
    x = 509,714.66/771.32
  6. Step 6: Final answer
    x = 660.83

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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.