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Finding the Fourth Proportional to 648.35, 972.06 and 323.48

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Solution

The fourth proportional to 648.35, 972.06 and 323.48 is: 485.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.35 : 972.06 = 323.48 : x
  2. Step 2: Convert to fraction form
    648.35/972.06 = 323.48/x
  3. Step 3: Cross multiply
    648.35x = 972.06 × 323.48
  4. Step 4: Simplify right side
    648.35x = 314,444.40
  5. Step 5: Solve for x
    x = 314,444.40/648.35
  6. Step 6: Final answer
    x = 485.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.