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Finding the Fourth Proportional to 709.29, 976.19 and 600.21

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Solution

The fourth proportional to 709.29, 976.19 and 600.21 is: 826.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.29 : 976.19 = 600.21 : x
  2. Step 2: Convert to fraction form
    709.29/976.19 = 600.21/x
  3. Step 3: Cross multiply
    709.29x = 976.19 × 600.21
  4. Step 4: Simplify right side
    709.29x = 585,916.00
  5. Step 5: Solve for x
    x = 585,916.00/709.29
  6. Step 6: Final answer
    x = 826.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.