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Finding the Fourth Proportional to 451.83, 623.56 and 286.17

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Solution

The fourth proportional to 451.83, 623.56 and 286.17 is: 394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.83 : 623.56 = 286.17 : x
  2. Step 2: Convert to fraction form
    451.83/623.56 = 286.17/x
  3. Step 3: Cross multiply
    451.83x = 623.56 × 286.17
  4. Step 4: Simplify right side
    451.83x = 178,444.68
  5. Step 5: Solve for x
    x = 178,444.68/451.83
  6. Step 6: Final answer
    x = 394.94

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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.