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Finding the Fourth Proportional to 451.96, 623.88 and 341.47

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Solution

The fourth proportional to 451.96, 623.88 and 341.47 is: 471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.96 : 623.88 = 341.47 : x
  2. Step 2: Convert to fraction form
    451.96/623.88 = 341.47/x
  3. Step 3: Cross multiply
    451.96x = 623.88 × 341.47
  4. Step 4: Simplify right side
    451.96x = 213,036.30
  5. Step 5: Solve for x
    x = 213,036.30/451.96
  6. Step 6: Final answer
    x = 471.36

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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.