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Finding the Fourth Proportional to 455.06, 627.94 and 258.59

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Solution

The fourth proportional to 455.06, 627.94 and 258.59 is: 356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.06 : 627.94 = 258.59 : x
  2. Step 2: Convert to fraction form
    455.06/627.94 = 258.59/x
  3. Step 3: Cross multiply
    455.06x = 627.94 × 258.59
  4. Step 4: Simplify right side
    455.06x = 162,379.00
  5. Step 5: Solve for x
    x = 162,379.00/455.06
  6. Step 6: Final answer
    x = 356.83

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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.