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Finding the Fourth Proportional to 428.70, 591.48 and 304.68

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Solution

The fourth proportional to 428.70, 591.48 and 304.68 is: 420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.70 : 591.48 = 304.68 : x
  2. Step 2: Convert to fraction form
    428.70/591.48 = 304.68/x
  3. Step 3: Cross multiply
    428.70x = 591.48 × 304.68
  4. Step 4: Simplify right side
    428.70x = 180,212.13
  5. Step 5: Solve for x
    x = 180,212.13/428.70
  6. Step 6: Final answer
    x = 420.37

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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.