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Finding the Fourth Proportional to 491.22, 677.23 and 420.98

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Solution

The fourth proportional to 491.22, 677.23 and 420.98 is: 580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.22 : 677.23 = 420.98 : x
  2. Step 2: Convert to fraction form
    491.22/677.23 = 420.98/x
  3. Step 3: Cross multiply
    491.22x = 677.23 × 420.98
  4. Step 4: Simplify right side
    491.22x = 285,100.93
  5. Step 5: Solve for x
    x = 285,100.93/491.22
  6. Step 6: Final answer
    x = 580.39

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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.