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Finding the Fourth Proportional to 857.23, 1,183.48 and 563.01

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Solution

The fourth proportional to 857.23, 1,183.48 and 563.01 is: 777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.23 : 1,183.48 = 563.01 : x
  2. Step 2: Convert to fraction form
    857.23/1,183.48 = 563.01/x
  3. Step 3: Cross multiply
    857.23x = 1,183.48 × 563.01
  4. Step 4: Simplify right side
    857.23x = 666,305.16
  5. Step 5: Solve for x
    x = 666,305.16/857.23
  6. Step 6: Final answer
    x = 777.28

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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.