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Finding the Fourth Proportional to 455.72, 628.80 and 259.19

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Solution

The fourth proportional to 455.72, 628.80 and 259.19 is: 357.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.72 : 628.80 = 259.19 : x
  2. Step 2: Convert to fraction form
    455.72/628.80 = 259.19/x
  3. Step 3: Cross multiply
    455.72x = 628.80 × 259.19
  4. Step 4: Simplify right side
    455.72x = 162,975.53
  5. Step 5: Solve for x
    x = 162,975.53/455.72
  6. Step 6: Final answer
    x = 357.63

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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.