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Finding the Fourth Proportional to 706.50, 1,058.21 and 398.19

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Solution

The fourth proportional to 706.50, 1,058.21 and 398.19 is: 596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.50 : 1,058.21 = 398.19 : x
  2. Step 2: Convert to fraction form
    706.50/1,058.21 = 398.19/x
  3. Step 3: Cross multiply
    706.50x = 1,058.21 × 398.19
  4. Step 4: Simplify right side
    706.50x = 421,366.65
  5. Step 5: Solve for x
    x = 421,366.65/706.50
  6. Step 6: Final answer
    x = 596.41

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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.