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Finding the Fourth Proportional to 771.20, 1,064.64 and 584.48

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Solution

The fourth proportional to 771.20, 1,064.64 and 584.48 is: 806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.20 : 1,064.64 = 584.48 : x
  2. Step 2: Convert to fraction form
    771.20/1,064.64 = 584.48/x
  3. Step 3: Cross multiply
    771.20x = 1,064.64 × 584.48
  4. Step 4: Simplify right side
    771.20x = 622,260.79
  5. Step 5: Solve for x
    x = 622,260.79/771.20
  6. Step 6: Final answer
    x = 806.87

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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.