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Finding the Fourth Proportional to 475.67, 654.89 and 448.34

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Solution

The fourth proportional to 475.67, 654.89 and 448.34 is: 617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.67 : 654.89 = 448.34 : x
  2. Step 2: Convert to fraction form
    475.67/654.89 = 448.34/x
  3. Step 3: Cross multiply
    475.67x = 654.89 × 448.34
  4. Step 4: Simplify right side
    475.67x = 293,607.87
  5. Step 5: Solve for x
    x = 293,607.87/475.67
  6. Step 6: Final answer
    x = 617.25

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Why These Related Problems?

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