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Finding the Fourth Proportional to 654.03, 983.79 and 648.54

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Solution

The fourth proportional to 654.03, 983.79 and 648.54 is: 975.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.03 : 983.79 = 648.54 : x
  2. Step 2: Convert to fraction form
    654.03/983.79 = 648.54/x
  3. Step 3: Cross multiply
    654.03x = 983.79 × 648.54
  4. Step 4: Simplify right side
    654.03x = 638,027.17
  5. Step 5: Solve for x
    x = 638,027.17/654.03
  6. Step 6: Final answer
    x = 975.53

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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.