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Finding the Fourth Proportional to 428.77, 645.49 and 292.68

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Solution

The fourth proportional to 428.77, 645.49 and 292.68 is: 440.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.77 : 645.49 = 292.68 : x
  2. Step 2: Convert to fraction form
    428.77/645.49 = 292.68/x
  3. Step 3: Cross multiply
    428.77x = 645.49 × 292.68
  4. Step 4: Simplify right side
    428.77x = 188,918.79
  5. Step 5: Solve for x
    x = 188,918.79/428.77
  6. Step 6: Final answer
    x = 440.61

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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.