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Finding the Fourth Proportional to 704.12, 971.46 and 428.12

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Solution

The fourth proportional to 704.12, 971.46 and 428.12 is: 590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.12 : 971.46 = 428.12 : x
  2. Step 2: Convert to fraction form
    704.12/971.46 = 428.12/x
  3. Step 3: Cross multiply
    704.12x = 971.46 × 428.12
  4. Step 4: Simplify right side
    704.12x = 415,901.46
  5. Step 5: Solve for x
    x = 415,901.46/704.12
  6. Step 6: Final answer
    x = 590.67

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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.