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Finding the Fourth Proportional to 452.11, 623.71 and 304.79

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Solution

The fourth proportional to 452.11, 623.71 and 304.79 is: 420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.11 : 623.71 = 304.79 : x
  2. Step 2: Convert to fraction form
    452.11/623.71 = 304.79/x
  3. Step 3: Cross multiply
    452.11x = 623.71 × 304.79
  4. Step 4: Simplify right side
    452.11x = 190,100.57
  5. Step 5: Solve for x
    x = 190,100.57/452.11
  6. Step 6: Final answer
    x = 420.47

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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.