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Finding the Fourth Proportional to 857.31, 1,183.08 and 464.31

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Solution

The fourth proportional to 857.31, 1,183.08 and 464.31 is: 640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.31 : 1,183.08 = 464.31 : x
  2. Step 2: Convert to fraction form
    857.31/1,183.08 = 464.31/x
  3. Step 3: Cross multiply
    857.31x = 1,183.08 × 464.31
  4. Step 4: Simplify right side
    857.31x = 549,315.87
  5. Step 5: Solve for x
    x = 549,315.87/857.31
  6. Step 6: Final answer
    x = 640.74

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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.