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Finding the Fourth Proportional to 654.93, 982.74 and 435.72

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Solution

The fourth proportional to 654.93, 982.74 and 435.72 is: 653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.93 : 982.74 = 435.72 : x
  2. Step 2: Convert to fraction form
    654.93/982.74 = 435.72/x
  3. Step 3: Cross multiply
    654.93x = 982.74 × 435.72
  4. Step 4: Simplify right side
    654.93x = 428,194.56
  5. Step 5: Solve for x
    x = 428,194.56/654.93
  6. Step 6: Final answer
    x = 653.80

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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.