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Finding the Fourth Proportional to 469.95, 648.33 and 322.33

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Solution

The fourth proportional to 469.95, 648.33 and 322.33 is: 444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.95 : 648.33 = 322.33 : x
  2. Step 2: Convert to fraction form
    469.95/648.33 = 322.33/x
  3. Step 3: Cross multiply
    469.95x = 648.33 × 322.33
  4. Step 4: Simplify right side
    469.95x = 208,972.97
  5. Step 5: Solve for x
    x = 208,972.97/469.95
  6. Step 6: Final answer
    x = 444.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.