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Finding the Fourth Proportional to 412.98, 614.60 and 399.48

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Solution

The fourth proportional to 412.98, 614.60 and 399.48 is: 594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.98 : 614.60 = 399.48 : x
  2. Step 2: Convert to fraction form
    412.98/614.60 = 399.48/x
  3. Step 3: Cross multiply
    412.98x = 614.60 × 399.48
  4. Step 4: Simplify right side
    412.98x = 245,518.41
  5. Step 5: Solve for x
    x = 245,518.41/412.98
  6. Step 6: Final answer
    x = 594.50

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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.