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Finding the Fourth Proportional to 779.76, 1,168.83 and 506.39

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Solution

The fourth proportional to 779.76, 1,168.83 and 506.39 is: 759.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.76 : 1,168.83 = 506.39 : x
  2. Step 2: Convert to fraction form
    779.76/1,168.83 = 506.39/x
  3. Step 3: Cross multiply
    779.76x = 1,168.83 × 506.39
  4. Step 4: Simplify right side
    779.76x = 591,877.98
  5. Step 5: Solve for x
    x = 591,877.98/779.76
  6. Step 6: Final answer
    x = 759.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.