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Finding the Fourth Proportional to 445.23, 617.27 and 420.66

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Solution

The fourth proportional to 445.23, 617.27 and 420.66 is: 583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.23 : 617.27 = 420.66 : x
  2. Step 2: Convert to fraction form
    445.23/617.27 = 420.66/x
  3. Step 3: Cross multiply
    445.23x = 617.27 × 420.66
  4. Step 4: Simplify right side
    445.23x = 259,658.69
  5. Step 5: Solve for x
    x = 259,658.69/445.23
  6. Step 6: Final answer
    x = 583.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.