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Finding the Fourth Proportional to 648.45, 970.83 and 483.60

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Solution

The fourth proportional to 648.45, 970.83 and 483.60 is: 724.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.45 : 970.83 = 483.60 : x
  2. Step 2: Convert to fraction form
    648.45/970.83 = 483.60/x
  3. Step 3: Cross multiply
    648.45x = 970.83 × 483.60
  4. Step 4: Simplify right side
    648.45x = 469,493.39
  5. Step 5: Solve for x
    x = 469,493.39/648.45
  6. Step 6: Final answer
    x = 724.02

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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.