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Finding the Fourth Proportional to 464.34, 643.85 and 439.74

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Solution

The fourth proportional to 464.34, 643.85 and 439.74 is: 609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.34 : 643.85 = 439.74 : x
  2. Step 2: Convert to fraction form
    464.34/643.85 = 439.74/x
  3. Step 3: Cross multiply
    464.34x = 643.85 × 439.74
  4. Step 4: Simplify right side
    464.34x = 283,124.40
  5. Step 5: Solve for x
    x = 283,124.40/464.34
  6. Step 6: Final answer
    x = 609.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.