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Finding the Fourth Proportional to 706.02, 1,058.22 and 321.54

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Solution

The fourth proportional to 706.02, 1,058.22 and 321.54 is: 481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.02 : 1,058.22 = 321.54 : x
  2. Step 2: Convert to fraction form
    706.02/1,058.22 = 321.54/x
  3. Step 3: Cross multiply
    706.02x = 1,058.22 × 321.54
  4. Step 4: Simplify right side
    706.02x = 340,260.06
  5. Step 5: Solve for x
    x = 340,260.06/706.02
  6. Step 6: Final answer
    x = 481.94

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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.