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Finding the Fourth Proportional to 706.39, 1,058.91 and 393.56

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Solution

The fourth proportional to 706.39, 1,058.91 and 393.56 is: 589.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.39 : 1,058.91 = 393.56 : x
  2. Step 2: Convert to fraction form
    706.39/1,058.91 = 393.56/x
  3. Step 3: Cross multiply
    706.39x = 1,058.91 × 393.56
  4. Step 4: Simplify right side
    706.39x = 416,741.82
  5. Step 5: Solve for x
    x = 416,741.82/706.39
  6. Step 6: Final answer
    x = 589.96

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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.