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Finding the Fourth Proportional to 428.37, 589.77 and 334.98

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Solution

The fourth proportional to 428.37, 589.77 and 334.98 is: 461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.37 : 589.77 = 334.98 : x
  2. Step 2: Convert to fraction form
    428.37/589.77 = 334.98/x
  3. Step 3: Cross multiply
    428.37x = 589.77 × 334.98
  4. Step 4: Simplify right side
    428.37x = 197,561.15
  5. Step 5: Solve for x
    x = 197,561.15/428.37
  6. Step 6: Final answer
    x = 461.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.