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Finding the Fourth Proportional to 1,048.25, 1,579.48 and 869.65

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Solution

The fourth proportional to 1,048.25, 1,579.48 and 869.65 is: 1,310.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.25 : 1,579.48 = 869.65 : x
  2. Step 2: Convert to fraction form
    1,048.25/1,579.48 = 869.65/x
  3. Step 3: Cross multiply
    1,048.25x = 1,579.48 × 869.65
  4. Step 4: Simplify right side
    1,048.25x = 1,373,588.66
  5. Step 5: Solve for x
    x = 1,373,588.66/1,048.25
  6. Step 6: Final answer
    x = 1,310.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.