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Finding the Fourth Proportional to 455.59, 628.69 and 259.12

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Solution

The fourth proportional to 455.59, 628.69 and 259.12 is: 357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.59 : 628.69 = 259.12 : x
  2. Step 2: Convert to fraction form
    455.59/628.69 = 259.12/x
  3. Step 3: Cross multiply
    455.59x = 628.69 × 259.12
  4. Step 4: Simplify right side
    455.59x = 162,906.15
  5. Step 5: Solve for x
    x = 162,906.15/455.59
  6. Step 6: Final answer
    x = 357.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.