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Finding the Fourth Proportional to 424.03, 635.71 and 285.35

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Solution

The fourth proportional to 424.03, 635.71 and 285.35 is: 427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.03 : 635.71 = 285.35 : x
  2. Step 2: Convert to fraction form
    424.03/635.71 = 285.35/x
  3. Step 3: Cross multiply
    424.03x = 635.71 × 285.35
  4. Step 4: Simplify right side
    424.03x = 181,399.85
  5. Step 5: Solve for x
    x = 181,399.85/424.03
  6. Step 6: Final answer
    x = 427.80

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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.