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Finding the Fourth Proportional to 771.22, 1,063.88 and 508.78

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Solution

The fourth proportional to 771.22, 1,063.88 and 508.78 is: 701.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.22 : 1,063.88 = 508.78 : x
  2. Step 2: Convert to fraction form
    771.22/1,063.88 = 508.78/x
  3. Step 3: Cross multiply
    771.22x = 1,063.88 × 508.78
  4. Step 4: Simplify right side
    771.22x = 541,284.42
  5. Step 5: Solve for x
    x = 541,284.42/771.22
  6. Step 6: Final answer
    x = 701.85

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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.