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Finding the Fourth Proportional to 706.41, 1,058.42 and 243.93

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Solution

The fourth proportional to 706.41, 1,058.42 and 243.93 is: 365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.41 : 1,058.42 = 243.93 : x
  2. Step 2: Convert to fraction form
    706.41/1,058.42 = 243.93/x
  3. Step 3: Cross multiply
    706.41x = 1,058.42 × 243.93
  4. Step 4: Simplify right side
    706.41x = 258,179.17
  5. Step 5: Solve for x
    x = 258,179.17/706.41
  6. Step 6: Final answer
    x = 365.48

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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.