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Finding the Fourth Proportional to 428.72, 642.61 and 306.61

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Solution

The fourth proportional to 428.72, 642.61 and 306.61 is: 459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.72 : 642.61 = 306.61 : x
  2. Step 2: Convert to fraction form
    428.72/642.61 = 306.61/x
  3. Step 3: Cross multiply
    428.72x = 642.61 × 306.61
  4. Step 4: Simplify right side
    428.72x = 197,030.65
  5. Step 5: Solve for x
    x = 197,030.65/428.72
  6. Step 6: Final answer
    x = 459.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.