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Finding the Fourth Proportional to 857.67, 1,183.57 and 484.64

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Solution

The fourth proportional to 857.67, 1,183.57 and 484.64 is: 668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.67 : 1,183.57 = 484.64 : x
  2. Step 2: Convert to fraction form
    857.67/1,183.57 = 484.64/x
  3. Step 3: Cross multiply
    857.67x = 1,183.57 × 484.64
  4. Step 4: Simplify right side
    857.67x = 573,607.11
  5. Step 5: Solve for x
    x = 573,607.11/857.67
  6. Step 6: Final answer
    x = 668.80

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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.