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Finding the Fourth Proportional to 648.49, 894.96 and 471.49

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Solution

The fourth proportional to 648.49, 894.96 and 471.49 is: 650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.49 : 894.96 = 471.49 : x
  2. Step 2: Convert to fraction form
    648.49/894.96 = 471.49/x
  3. Step 3: Cross multiply
    648.49x = 894.96 × 471.49
  4. Step 4: Simplify right side
    648.49x = 421,964.69
  5. Step 5: Solve for x
    x = 421,964.69/648.49
  6. Step 6: Final answer
    x = 650.69

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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.