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Finding the Fourth Proportional to 771.24, 1,063.98 and 522.48

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Solution

The fourth proportional to 771.24, 1,063.98 and 522.48 is: 720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.24 : 1,063.98 = 522.48 : x
  2. Step 2: Convert to fraction form
    771.24/1,063.98 = 522.48/x
  3. Step 3: Cross multiply
    771.24x = 1,063.98 × 522.48
  4. Step 4: Simplify right side
    771.24x = 555,908.27
  5. Step 5: Solve for x
    x = 555,908.27/771.24
  6. Step 6: Final answer
    x = 720.80

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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.