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Finding the Fourth Proportional to 451.71, 623.07 and 285.86

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Solution

The fourth proportional to 451.71, 623.07 and 285.86 is: 394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.71 : 623.07 = 285.86 : x
  2. Step 2: Convert to fraction form
    451.71/623.07 = 285.86/x
  3. Step 3: Cross multiply
    451.71x = 623.07 × 285.86
  4. Step 4: Simplify right side
    451.71x = 178,107.67
  5. Step 5: Solve for x
    x = 178,107.67/451.71
  6. Step 6: Final answer
    x = 394.30

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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.