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Finding the Fourth Proportional to 428.34, 645.42 and 352.98

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Solution

The fourth proportional to 428.34, 645.42 and 352.98 is: 531.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.34 : 645.42 = 352.98 : x
  2. Step 2: Convert to fraction form
    428.34/645.42 = 352.98/x
  3. Step 3: Cross multiply
    428.34x = 645.42 × 352.98
  4. Step 4: Simplify right side
    428.34x = 227,820.35
  5. Step 5: Solve for x
    x = 227,820.35/428.34
  6. Step 6: Final answer
    x = 531.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.