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Finding the Fourth Proportional to 706.69, 1,058.16 and 381.07

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Solution

The fourth proportional to 706.69, 1,058.16 and 381.07 is: 570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.69 : 1,058.16 = 381.07 : x
  2. Step 2: Convert to fraction form
    706.69/1,058.16 = 381.07/x
  3. Step 3: Cross multiply
    706.69x = 1,058.16 × 381.07
  4. Step 4: Simplify right side
    706.69x = 403,233.03
  5. Step 5: Solve for x
    x = 403,233.03/706.69
  6. Step 6: Final answer
    x = 570.59

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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.