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Finding the Fourth Proportional to 455.62, 627.17 and 397.30

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Solution

The fourth proportional to 455.62, 627.17 and 397.30 is: 546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.62 : 627.17 = 397.30 : x
  2. Step 2: Convert to fraction form
    455.62/627.17 = 397.30/x
  3. Step 3: Cross multiply
    455.62x = 627.17 × 397.30
  4. Step 4: Simplify right side
    455.62x = 249,174.64
  5. Step 5: Solve for x
    x = 249,174.64/455.62
  6. Step 6: Final answer
    x = 546.89

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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.