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Finding the Fourth Proportional to 654.93, 982.62 and 424.26

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Solution

The fourth proportional to 654.93, 982.62 and 424.26 is: 636.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.93 : 982.62 = 424.26 : x
  2. Step 2: Convert to fraction form
    654.93/982.62 = 424.26/x
  3. Step 3: Cross multiply
    654.93x = 982.62 × 424.26
  4. Step 4: Simplify right side
    654.93x = 416,886.36
  5. Step 5: Solve for x
    x = 416,886.36/654.93
  6. Step 6: Final answer
    x = 636.54

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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.