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Finding the Fourth Proportional to 436.14, 650.32 and 420.34

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Solution

The fourth proportional to 436.14, 650.32 and 420.34 is: 626.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.14 : 650.32 = 420.34 : x
  2. Step 2: Convert to fraction form
    436.14/650.32 = 420.34/x
  3. Step 3: Cross multiply
    436.14x = 650.32 × 420.34
  4. Step 4: Simplify right side
    436.14x = 273,355.51
  5. Step 5: Solve for x
    x = 273,355.51/436.14
  6. Step 6: Final answer
    x = 626.76

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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.