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Finding the Fourth Proportional to 648.86, 972.03 and 389.08

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Solution

The fourth proportional to 648.86, 972.03 and 389.08 is: 582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.86 : 972.03 = 389.08 : x
  2. Step 2: Convert to fraction form
    648.86/972.03 = 389.08/x
  3. Step 3: Cross multiply
    648.86x = 972.03 × 389.08
  4. Step 4: Simplify right side
    648.86x = 378,194.09
  5. Step 5: Solve for x
    x = 378,194.09/648.86
  6. Step 6: Final answer
    x = 582.86

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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.