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Finding the Fourth Proportional to 857.72, 1,183.60 and 484.71

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Solution

The fourth proportional to 857.72, 1,183.60 and 484.71 is: 668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.72 : 1,183.60 = 484.71 : x
  2. Step 2: Convert to fraction form
    857.72/1,183.60 = 484.71/x
  3. Step 3: Cross multiply
    857.72x = 1,183.60 × 484.71
  4. Step 4: Simplify right side
    857.72x = 573,702.76
  5. Step 5: Solve for x
    x = 573,702.76/857.72
  6. Step 6: Final answer
    x = 668.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.