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Finding the Fourth Proportional to 455.21, 627.59 and 392.91

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Solution

The fourth proportional to 455.21, 627.59 and 392.91 is: 541.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.21 : 627.59 = 392.91 : x
  2. Step 2: Convert to fraction form
    455.21/627.59 = 392.91/x
  3. Step 3: Cross multiply
    455.21x = 627.59 × 392.91
  4. Step 4: Simplify right side
    455.21x = 246,584.42
  5. Step 5: Solve for x
    x = 246,584.42/455.21
  6. Step 6: Final answer
    x = 541.69

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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.