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Finding the Fourth Proportional to 452.37, 623.85 and 286.29

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Solution

The fourth proportional to 452.37, 623.85 and 286.29 is: 394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.37 : 623.85 = 286.29 : x
  2. Step 2: Convert to fraction form
    452.37/623.85 = 286.29/x
  3. Step 3: Cross multiply
    452.37x = 623.85 × 286.29
  4. Step 4: Simplify right side
    452.37x = 178,602.02
  5. Step 5: Solve for x
    x = 178,602.02/452.37
  6. Step 6: Final answer
    x = 394.81

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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.