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Finding the Fourth Proportional to 857.15, 1,183.56 and 525.79

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Solution

The fourth proportional to 857.15, 1,183.56 and 525.79 is: 726.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.15 : 1,183.56 = 525.79 : x
  2. Step 2: Convert to fraction form
    857.15/1,183.56 = 525.79/x
  3. Step 3: Cross multiply
    857.15x = 1,183.56 × 525.79
  4. Step 4: Simplify right side
    857.15x = 622,298.09
  5. Step 5: Solve for x
    x = 622,298.09/857.15
  6. Step 6: Final answer
    x = 726.01

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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.