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Finding the Fourth Proportional to 648.90, 972.63 and 504.26

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Solution

The fourth proportional to 648.90, 972.63 and 504.26 is: 755.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.90 : 972.63 = 504.26 : x
  2. Step 2: Convert to fraction form
    648.90/972.63 = 504.26/x
  3. Step 3: Cross multiply
    648.90x = 972.63 × 504.26
  4. Step 4: Simplify right side
    648.90x = 490,458.40
  5. Step 5: Solve for x
    x = 490,458.40/648.90
  6. Step 6: Final answer
    x = 755.83

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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.