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Finding the Fourth Proportional to 619.96, 857.10 and 464.44

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Solution

The fourth proportional to 619.96, 857.10 and 464.44 is: 642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.96 : 857.10 = 464.44 : x
  2. Step 2: Convert to fraction form
    619.96/857.10 = 464.44/x
  3. Step 3: Cross multiply
    619.96x = 857.10 × 464.44
  4. Step 4: Simplify right side
    619.96x = 398,071.52
  5. Step 5: Solve for x
    x = 398,071.52/619.96
  6. Step 6: Final answer
    x = 642.09

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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.