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Finding the Fourth Proportional to 451.10, 679.79 and 407.80

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Solution

The fourth proportional to 451.10, 679.79 and 407.80 is: 614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.10 : 679.79 = 407.80 : x
  2. Step 2: Convert to fraction form
    451.10/679.79 = 407.80/x
  3. Step 3: Cross multiply
    451.10x = 679.79 × 407.80
  4. Step 4: Simplify right side
    451.10x = 277,220.23
  5. Step 5: Solve for x
    x = 277,220.23/451.10
  6. Step 6: Final answer
    x = 614.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.