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Finding the Fourth Proportional to 464.45, 637.39 and 420.71

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Solution

The fourth proportional to 464.45, 637.39 and 420.71 is: 577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.45 : 637.39 = 420.71 : x
  2. Step 2: Convert to fraction form
    464.45/637.39 = 420.71/x
  3. Step 3: Cross multiply
    464.45x = 637.39 × 420.71
  4. Step 4: Simplify right side
    464.45x = 268,153.69
  5. Step 5: Solve for x
    x = 268,153.69/464.45
  6. Step 6: Final answer
    x = 577.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.