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Finding the Fourth Proportional to 454.05, 626.33 and 285.74

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Solution

The fourth proportional to 454.05, 626.33 and 285.74 is: 394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.05 : 626.33 = 285.74 : x
  2. Step 2: Convert to fraction form
    454.05/626.33 = 285.74/x
  3. Step 3: Cross multiply
    454.05x = 626.33 × 285.74
  4. Step 4: Simplify right side
    454.05x = 178,962.97
  5. Step 5: Solve for x
    x = 178,962.97/454.05
  6. Step 6: Final answer
    x = 394.14

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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.