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Finding the Fourth Proportional to 654.35, 980.94 and 423.35

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Solution

The fourth proportional to 654.35, 980.94 and 423.35 is: 634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.35 : 980.94 = 423.35 : x
  2. Step 2: Convert to fraction form
    654.35/980.94 = 423.35/x
  3. Step 3: Cross multiply
    654.35x = 980.94 × 423.35
  4. Step 4: Simplify right side
    654.35x = 415,280.50
  5. Step 5: Solve for x
    x = 415,280.50/654.35
  6. Step 6: Final answer
    x = 634.64

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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.