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Finding the Fourth Proportional to 1,364.96, 2,046.07 and 779.77

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Solution

The fourth proportional to 1,364.96, 2,046.07 and 779.77 is: 1,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.96 : 2,046.07 = 779.77 : x
  2. Step 2: Convert to fraction form
    1,364.96/2,046.07 = 779.77/x
  3. Step 3: Cross multiply
    1,364.96x = 2,046.07 × 779.77
  4. Step 4: Simplify right side
    1,364.96x = 1,595,460.11
  5. Step 5: Solve for x
    x = 1,595,460.11/1,364.96
  6. Step 6: Final answer
    x = 1,168.87

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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.