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Finding the Fourth Proportional to 455.58, 628.63 and 259.07

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Solution

The fourth proportional to 455.58, 628.63 and 259.07 is: 357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.58 : 628.63 = 259.07 : x
  2. Step 2: Convert to fraction form
    455.58/628.63 = 259.07/x
  3. Step 3: Cross multiply
    455.58x = 628.63 × 259.07
  4. Step 4: Simplify right side
    455.58x = 162,855.38
  5. Step 5: Solve for x
    x = 162,855.38/455.58
  6. Step 6: Final answer
    x = 357.47

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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.