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Finding the Fourth Proportional to 857.23, 1,183.05 and 484.21

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Solution

The fourth proportional to 857.23, 1,183.05 and 484.21 is: 668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.23 : 1,183.05 = 484.21 : x
  2. Step 2: Convert to fraction form
    857.23/1,183.05 = 484.21/x
  3. Step 3: Cross multiply
    857.23x = 1,183.05 × 484.21
  4. Step 4: Simplify right side
    857.23x = 572,844.64
  5. Step 5: Solve for x
    x = 572,844.64/857.23
  6. Step 6: Final answer
    x = 668.25

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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.