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Finding the Fourth Proportional to 1,864.94, 2,795.96 and 769.58

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Solution

The fourth proportional to 1,864.94, 2,795.96 and 769.58 is: 1,153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.94 : 2,795.96 = 769.58 : x
  2. Step 2: Convert to fraction form
    1,864.94/2,795.96 = 769.58/x
  3. Step 3: Cross multiply
    1,864.94x = 2,795.96 × 769.58
  4. Step 4: Simplify right side
    1,864.94x = 2,151,714.90
  5. Step 5: Solve for x
    x = 2,151,714.90/1,864.94
  6. Step 6: Final answer
    x = 1,153.77

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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.