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Finding the Fourth Proportional to 428.73, 594.15 and 423.51

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Solution

The fourth proportional to 428.73, 594.15 and 423.51 is: 586.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.73 : 594.15 = 423.51 : x
  2. Step 2: Convert to fraction form
    428.73/594.15 = 423.51/x
  3. Step 3: Cross multiply
    428.73x = 594.15 × 423.51
  4. Step 4: Simplify right side
    428.73x = 251,628.47
  5. Step 5: Solve for x
    x = 251,628.47/428.73
  6. Step 6: Final answer
    x = 586.92

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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.