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Finding the Fourth Proportional to 727.32, 1,004.73 and 579.77

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Solution

The fourth proportional to 727.32, 1,004.73 and 579.77 is: 800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.32 : 1,004.73 = 579.77 : x
  2. Step 2: Convert to fraction form
    727.32/1,004.73 = 579.77/x
  3. Step 3: Cross multiply
    727.32x = 1,004.73 × 579.77
  4. Step 4: Simplify right side
    727.32x = 582,507.29
  5. Step 5: Solve for x
    x = 582,507.29/727.32
  6. Step 6: Final answer
    x = 800.90

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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.