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Finding the Fourth Proportional to 452.12, 623.66 and 286.02

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Solution

The fourth proportional to 452.12, 623.66 and 286.02 is: 394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.12 : 623.66 = 286.02 : x
  2. Step 2: Convert to fraction form
    452.12/623.66 = 286.02/x
  3. Step 3: Cross multiply
    452.12x = 623.66 × 286.02
  4. Step 4: Simplify right side
    452.12x = 178,377.80
  5. Step 5: Solve for x
    x = 178,377.80/452.12
  6. Step 6: Final answer
    x = 394.54

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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.