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Finding the Fourth Proportional to 857.35, 1,183.14 and 464.37

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Solution

The fourth proportional to 857.35, 1,183.14 and 464.37 is: 640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.35 : 1,183.14 = 464.37 : x
  2. Step 2: Convert to fraction form
    857.35/1,183.14 = 464.37/x
  3. Step 3: Cross multiply
    857.35x = 1,183.14 × 464.37
  4. Step 4: Simplify right side
    857.35x = 549,414.72
  5. Step 5: Solve for x
    x = 549,414.72/857.35
  6. Step 6: Final answer
    x = 640.83

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1.5x scale

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.