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Finding the Fourth Proportional to 428.50, 594.49 and 424.45

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Solution

The fourth proportional to 428.50, 594.49 and 424.45 is: 588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.50 : 594.49 = 424.45 : x
  2. Step 2: Convert to fraction form
    428.50/594.49 = 424.45/x
  3. Step 3: Cross multiply
    428.50x = 594.49 × 424.45
  4. Step 4: Simplify right side
    428.50x = 252,331.28
  5. Step 5: Solve for x
    x = 252,331.28/428.50
  6. Step 6: Final answer
    x = 588.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.