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Finding the Fourth Proportional to 451.65, 622.86 and 285.57

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Solution

The fourth proportional to 451.65, 622.86 and 285.57 is: 393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.65 : 622.86 = 285.57 : x
  2. Step 2: Convert to fraction form
    451.65/622.86 = 285.57/x
  3. Step 3: Cross multiply
    451.65x = 622.86 × 285.57
  4. Step 4: Simplify right side
    451.65x = 177,868.70
  5. Step 5: Solve for x
    x = 177,868.70/451.65
  6. Step 6: Final answer
    x = 393.82

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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.