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Finding the Fourth Proportional to 648.26, 970.49 and 504.08

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Solution

The fourth proportional to 648.26, 970.49 and 504.08 is: 754.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.26 : 970.49 = 504.08 : x
  2. Step 2: Convert to fraction form
    648.26/970.49 = 504.08/x
  3. Step 3: Cross multiply
    648.26x = 970.49 × 504.08
  4. Step 4: Simplify right side
    648.26x = 489,201.01
  5. Step 5: Solve for x
    x = 489,201.01/648.26
  6. Step 6: Final answer
    x = 754.64

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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.