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Finding the Fourth Proportional to 424.19, 635.83 and 277.89

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Solution

The fourth proportional to 424.19, 635.83 and 277.89 is: 416.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.19 : 635.83 = 277.89 : x
  2. Step 2: Convert to fraction form
    424.19/635.83 = 277.89/x
  3. Step 3: Cross multiply
    424.19x = 635.83 × 277.89
  4. Step 4: Simplify right side
    424.19x = 176,687.62
  5. Step 5: Solve for x
    x = 176,687.62/424.19
  6. Step 6: Final answer
    x = 416.53

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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.