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Finding the Fourth Proportional to 455.67, 627.38 and 397.43

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Solution

The fourth proportional to 455.67, 627.38 and 397.43 is: 547.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.67 : 627.38 = 397.43 : x
  2. Step 2: Convert to fraction form
    455.67/627.38 = 397.43/x
  3. Step 3: Cross multiply
    455.67x = 627.38 × 397.43
  4. Step 4: Simplify right side
    455.67x = 249,337.65
  5. Step 5: Solve for x
    x = 249,337.65/455.67
  6. Step 6: Final answer
    x = 547.19

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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.