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Finding the Fourth Proportional to 428.38, 589.75 and 384.64

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Solution

The fourth proportional to 428.38, 589.75 and 384.64 is: 529.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.38 : 589.75 = 384.64 : x
  2. Step 2: Convert to fraction form
    428.38/589.75 = 384.64/x
  3. Step 3: Cross multiply
    428.38x = 589.75 × 384.64
  4. Step 4: Simplify right side
    428.38x = 226,841.44
  5. Step 5: Solve for x
    x = 226,841.44/428.38
  6. Step 6: Final answer
    x = 529.53

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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.