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Finding the Fourth Proportional to 771.94, 1,065.36 and 523.27

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Solution

The fourth proportional to 771.94, 1,065.36 and 523.27 is: 722.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.94 : 1,065.36 = 523.27 : x
  2. Step 2: Convert to fraction form
    771.94/1,065.36 = 523.27/x
  3. Step 3: Cross multiply
    771.94x = 1,065.36 × 523.27
  4. Step 4: Simplify right side
    771.94x = 557,470.93
  5. Step 5: Solve for x
    x = 557,470.93/771.94
  6. Step 6: Final answer
    x = 722.17

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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.