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Finding the Fourth Proportional to 858.30, 1,183.90 and 563.26

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Solution

The fourth proportional to 858.30, 1,183.90 and 563.26 is: 776.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.30 : 1,183.90 = 563.26 : x
  2. Step 2: Convert to fraction form
    858.30/1,183.90 = 563.26/x
  3. Step 3: Cross multiply
    858.30x = 1,183.90 × 563.26
  4. Step 4: Simplify right side
    858.30x = 666,843.51
  5. Step 5: Solve for x
    x = 666,843.51/858.30
  6. Step 6: Final answer
    x = 776.94

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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.