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Finding the Fourth Proportional to 857.25, 1,183.12 and 507.96

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Solution

The fourth proportional to 857.25, 1,183.12 and 507.96 is: 701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.25 : 1,183.12 = 507.96 : x
  2. Step 2: Convert to fraction form
    857.25/1,183.12 = 507.96/x
  3. Step 3: Cross multiply
    857.25x = 1,183.12 × 507.96
  4. Step 4: Simplify right side
    857.25x = 600,976.37
  5. Step 5: Solve for x
    x = 600,976.37/857.25
  6. Step 6: Final answer
    x = 701.05

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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.