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Finding the Fourth Proportional to 451.85, 623.32 and 285.78

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Solution

The fourth proportional to 451.85, 623.32 and 285.78 is: 394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.85 : 623.32 = 285.78 : x
  2. Step 2: Convert to fraction form
    451.85/623.32 = 285.78/x
  3. Step 3: Cross multiply
    451.85x = 623.32 × 285.78
  4. Step 4: Simplify right side
    451.85x = 178,132.39
  5. Step 5: Solve for x
    x = 178,132.39/451.85
  6. Step 6: Final answer
    x = 394.23

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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.