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Finding the Fourth Proportional to 451.89, 623.63 and 286.04

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Solution

The fourth proportional to 451.89, 623.63 and 286.04 is: 394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.89 : 623.63 = 286.04 : x
  2. Step 2: Convert to fraction form
    451.89/623.63 = 286.04/x
  3. Step 3: Cross multiply
    451.89x = 623.63 × 286.04
  4. Step 4: Simplify right side
    451.89x = 178,385.40
  5. Step 5: Solve for x
    x = 178,385.40/451.89
  6. Step 6: Final answer
    x = 394.75

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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.