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Finding the Fourth Proportional to 477.48, 662.43 and 460.20

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Solution

The fourth proportional to 477.48, 662.43 and 460.20 is: 638.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.48 : 662.43 = 460.20 : x
  2. Step 2: Convert to fraction form
    477.48/662.43 = 460.20/x
  3. Step 3: Cross multiply
    477.48x = 662.43 × 460.20
  4. Step 4: Simplify right side
    477.48x = 304,850.29
  5. Step 5: Solve for x
    x = 304,850.29/477.48
  6. Step 6: Final answer
    x = 638.46

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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.