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Finding the Fourth Proportional to 428.18, 636.77 and 414.51

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Solution

The fourth proportional to 428.18, 636.77 and 414.51 is: 616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.18 : 636.77 = 414.51 : x
  2. Step 2: Convert to fraction form
    428.18/636.77 = 414.51/x
  3. Step 3: Cross multiply
    428.18x = 636.77 × 414.51
  4. Step 4: Simplify right side
    428.18x = 263,945.46
  5. Step 5: Solve for x
    x = 263,945.46/428.18
  6. Step 6: Final answer
    x = 616.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.