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Finding the Fourth Proportional to 452.17, 623.59 and 286.26

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Solution

The fourth proportional to 452.17, 623.59 and 286.26 is: 394.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.17 : 623.59 = 286.26 : x
  2. Step 2: Convert to fraction form
    452.17/623.59 = 286.26/x
  3. Step 3: Cross multiply
    452.17x = 623.59 × 286.26
  4. Step 4: Simplify right side
    452.17x = 178,508.87
  5. Step 5: Solve for x
    x = 178,508.87/452.17
  6. Step 6: Final answer
    x = 394.78

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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.