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Finding the Fourth Proportional to 771.22, 1,063.92 and 505.66

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Solution

The fourth proportional to 771.22, 1,063.92 and 505.66 is: 697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.22 : 1,063.92 = 505.66 : x
  2. Step 2: Convert to fraction form
    771.22/1,063.92 = 505.66/x
  3. Step 3: Cross multiply
    771.22x = 1,063.92 × 505.66
  4. Step 4: Simplify right side
    771.22x = 537,981.79
  5. Step 5: Solve for x
    x = 537,981.79/771.22
  6. Step 6: Final answer
    x = 697.57

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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.