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Finding the Fourth Proportional to 452.07, 623.75 and 286.22

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Solution

The fourth proportional to 452.07, 623.75 and 286.22 is: 394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.07 : 623.75 = 286.22 : x
  2. Step 2: Convert to fraction form
    452.07/623.75 = 286.22/x
  3. Step 3: Cross multiply
    452.07x = 623.75 × 286.22
  4. Step 4: Simplify right side
    452.07x = 178,525.18
  5. Step 5: Solve for x
    x = 178,525.18/452.07
  6. Step 6: Final answer
    x = 394.91

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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.