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Finding the Fourth Proportional to 423.07, 635.04 and 283.83

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Solution

The fourth proportional to 423.07, 635.04 and 283.83 is: 426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.07 : 635.04 = 283.83 : x
  2. Step 2: Convert to fraction form
    423.07/635.04 = 283.83/x
  3. Step 3: Cross multiply
    423.07x = 635.04 × 283.83
  4. Step 4: Simplify right side
    423.07x = 180,243.40
  5. Step 5: Solve for x
    x = 180,243.40/423.07
  6. Step 6: Final answer
    x = 426.04

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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.