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Finding the Fourth Proportional to 1,469.65, 2,027.96 and 840.34

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Solution

The fourth proportional to 1,469.65, 2,027.96 and 840.34 is: 1,159.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.65 : 2,027.96 = 840.34 : x
  2. Step 2: Convert to fraction form
    1,469.65/2,027.96 = 840.34/x
  3. Step 3: Cross multiply
    1,469.65x = 2,027.96 × 840.34
  4. Step 4: Simplify right side
    1,469.65x = 1,704,175.91
  5. Step 5: Solve for x
    x = 1,704,175.91/1,469.65
  6. Step 6: Final answer
    x = 1,159.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.