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Finding the Fourth Proportional to 464.47, 639.34 and 420.73

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Solution

The fourth proportional to 464.47, 639.34 and 420.73 is: 579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.47 : 639.34 = 420.73 : x
  2. Step 2: Convert to fraction form
    464.47/639.34 = 420.73/x
  3. Step 3: Cross multiply
    464.47x = 639.34 × 420.73
  4. Step 4: Simplify right side
    464.47x = 268,989.52
  5. Step 5: Solve for x
    x = 268,989.52/464.47
  6. Step 6: Final answer
    x = 579.13

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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.