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Finding the Fourth Proportional to 451.83, 674.16 and 420.42

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Solution

The fourth proportional to 451.83, 674.16 and 420.42 is: 627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.83 : 674.16 = 420.42 : x
  2. Step 2: Convert to fraction form
    451.83/674.16 = 420.42/x
  3. Step 3: Cross multiply
    451.83x = 674.16 × 420.42
  4. Step 4: Simplify right side
    451.83x = 283,430.35
  5. Step 5: Solve for x
    x = 283,430.35/451.83
  6. Step 6: Final answer
    x = 627.29

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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.