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Finding the Fourth Proportional to 564.44, 778.74 and 343.32

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Solution

The fourth proportional to 564.44, 778.74 and 343.32 is: 473.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.44 : 778.74 = 343.32 : x
  2. Step 2: Convert to fraction form
    564.44/778.74 = 343.32/x
  3. Step 3: Cross multiply
    564.44x = 778.74 × 343.32
  4. Step 4: Simplify right side
    564.44x = 267,357.02
  5. Step 5: Solve for x
    x = 267,357.02/564.44
  6. Step 6: Final answer
    x = 473.67

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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.