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Finding the Fourth Proportional to 423.54, 584.06 and 283.64

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Solution

The fourth proportional to 423.54, 584.06 and 283.64 is: 391.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.54 : 584.06 = 283.64 : x
  2. Step 2: Convert to fraction form
    423.54/584.06 = 283.64/x
  3. Step 3: Cross multiply
    423.54x = 584.06 × 283.64
  4. Step 4: Simplify right side
    423.54x = 165,658.44
  5. Step 5: Solve for x
    x = 165,658.44/423.54
  6. Step 6: Final answer
    x = 391.13

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