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Finding the Fourth Proportional to 423.90, 584.78 and 284.05

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Solution

The fourth proportional to 423.90, 584.78 and 284.05 is: 391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.90 : 584.78 = 284.05 : x
  2. Step 2: Convert to fraction form
    423.90/584.78 = 284.05/x
  3. Step 3: Cross multiply
    423.90x = 584.78 × 284.05
  4. Step 4: Simplify right side
    423.90x = 166,107.13
  5. Step 5: Solve for x
    x = 166,107.13/423.90
  6. Step 6: Final answer
    x = 391.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.