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Finding the Fourth Proportional to 455.09, 628.53 and 405.88

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Solution

The fourth proportional to 455.09, 628.53 and 405.88 is: 560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.09 : 628.53 = 405.88 : x
  2. Step 2: Convert to fraction form
    455.09/628.53 = 405.88/x
  3. Step 3: Cross multiply
    455.09x = 628.53 × 405.88
  4. Step 4: Simplify right side
    455.09x = 255,104.66
  5. Step 5: Solve for x
    x = 255,104.66/455.09
  6. Step 6: Final answer
    x = 560.56

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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.