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Finding the Fourth Proportional to 446.40, 670.06 and 395.38

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Solution

The fourth proportional to 446.40, 670.06 and 395.38 is: 593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.40 : 670.06 = 395.38 : x
  2. Step 2: Convert to fraction form
    446.40/670.06 = 395.38/x
  3. Step 3: Cross multiply
    446.40x = 670.06 × 395.38
  4. Step 4: Simplify right side
    446.40x = 264,928.32
  5. Step 5: Solve for x
    x = 264,928.32/446.40
  6. Step 6: Final answer
    x = 593.48

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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.