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Finding the Fourth Proportional to 406.98, 610.10 and 394.74

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Solution

The fourth proportional to 406.98, 610.10 and 394.74 is: 591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.98 : 610.10 = 394.74 : x
  2. Step 2: Convert to fraction form
    406.98/610.10 = 394.74/x
  3. Step 3: Cross multiply
    406.98x = 610.10 × 394.74
  4. Step 4: Simplify right side
    406.98x = 240,830.87
  5. Step 5: Solve for x
    x = 240,830.87/406.98
  6. Step 6: Final answer
    x = 591.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.