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Finding the Fourth Proportional to 704.68, 1,057.02 and 427.11

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Solution

The fourth proportional to 704.68, 1,057.02 and 427.11 is: 640.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.68 : 1,057.02 = 427.11 : x
  2. Step 2: Convert to fraction form
    704.68/1,057.02 = 427.11/x
  3. Step 3: Cross multiply
    704.68x = 1,057.02 × 427.11
  4. Step 4: Simplify right side
    704.68x = 451,463.81
  5. Step 5: Solve for x
    x = 451,463.81/704.68
  6. Step 6: Final answer
    x = 640.67

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Why These Related Problems?

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