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Finding the Fourth Proportional to 1,809.48, 2,714.58 and 769.47

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Solution

The fourth proportional to 1,809.48, 2,714.58 and 769.47 is: 1,154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.48 : 2,714.58 = 769.47 : x
  2. Step 2: Convert to fraction form
    1,809.48/2,714.58 = 769.47/x
  3. Step 3: Cross multiply
    1,809.48x = 2,714.58 × 769.47
  4. Step 4: Simplify right side
    1,809.48x = 2,088,787.87
  5. Step 5: Solve for x
    x = 2,088,787.87/1,809.48
  6. Step 6: Final answer
    x = 1,154.36

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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.