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Finding the Fourth Proportional to 2,508.30, 3,761.19 and 776.70

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Solution

The fourth proportional to 2,508.30, 3,761.19 and 776.70 is: 1,164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.30 : 3,761.19 = 776.70 : x
  2. Step 2: Convert to fraction form
    2,508.30/3,761.19 = 776.70/x
  3. Step 3: Cross multiply
    2,508.30x = 3,761.19 × 776.70
  4. Step 4: Simplify right side
    2,508.30x = 2,921,316.27
  5. Step 5: Solve for x
    x = 2,921,316.27/2,508.30
  6. Step 6: Final answer
    x = 1,164.66

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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.