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Finding the Fourth Proportional to 434, 654.26 and 427.52

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Solution

The fourth proportional to 434, 654.26 and 427.52 is: 644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    434 : 654.26 = 427.52 : x
  2. Step 2: Convert to fraction form
    434/654.26 = 427.52/x
  3. Step 3: Cross multiply
    434x = 654.26 × 427.52
  4. Step 4: Simplify right side
    434x = 279,709.24
  5. Step 5: Solve for x
    x = 279,709.24/434
  6. Step 6: Final answer
    x = 644.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.