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Finding the Fourth Proportional to 455.41, 679.16 and 408.03

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Solution

The fourth proportional to 455.41, 679.16 and 408.03 is: 608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.41 : 679.16 = 408.03 : x
  2. Step 2: Convert to fraction form
    455.41/679.16 = 408.03/x
  3. Step 3: Cross multiply
    455.41x = 679.16 × 408.03
  4. Step 4: Simplify right side
    455.41x = 277,117.65
  5. Step 5: Solve for x
    x = 277,117.65/455.41
  6. Step 6: Final answer
    x = 608.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.