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Finding the Fourth Proportional to 1,027.64, 1,418.00 and 579.51

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Solution

The fourth proportional to 1,027.64, 1,418.00 and 579.51 is: 799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.64 : 1,418.00 = 579.51 : x
  2. Step 2: Convert to fraction form
    1,027.64/1,418.00 = 579.51/x
  3. Step 3: Cross multiply
    1,027.64x = 1,418.00 × 579.51
  4. Step 4: Simplify right side
    1,027.64x = 821,742.28
  5. Step 5: Solve for x
    x = 821,742.28/1,027.64
  6. Step 6: Final answer
    x = 799.64

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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.