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Finding the Fourth Proportional to 771.45, 1,063.17 and 631.10

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Solution

The fourth proportional to 771.45, 1,063.17 and 631.10 is: 869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.45 : 1,063.17 = 631.10 : x
  2. Step 2: Convert to fraction form
    771.45/1,063.17 = 631.10/x
  3. Step 3: Cross multiply
    771.45x = 1,063.17 × 631.10
  4. Step 4: Simplify right side
    771.45x = 670,961.27
  5. Step 5: Solve for x
    x = 670,961.27/771.45
  6. Step 6: Final answer
    x = 869.74

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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.