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Finding the Fourth Proportional to 455.12, 627.88 and 317.20

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Solution

The fourth proportional to 455.12, 627.88 and 317.20 is: 437.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.12 : 627.88 = 317.20 : x
  2. Step 2: Convert to fraction form
    455.12/627.88 = 317.20/x
  3. Step 3: Cross multiply
    455.12x = 627.88 × 317.20
  4. Step 4: Simplify right side
    455.12x = 199,163.54
  5. Step 5: Solve for x
    x = 199,163.54/455.12
  6. Step 6: Final answer
    x = 437.61

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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.