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Finding the Fourth Proportional to 709.27, 978.63 and 410.56

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Solution

The fourth proportional to 709.27, 978.63 and 410.56 is: 566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.27 : 978.63 = 410.56 : x
  2. Step 2: Convert to fraction form
    709.27/978.63 = 410.56/x
  3. Step 3: Cross multiply
    709.27x = 978.63 × 410.56
  4. Step 4: Simplify right side
    709.27x = 401,786.33
  5. Step 5: Solve for x
    x = 401,786.33/709.27
  6. Step 6: Final answer
    x = 566.48

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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.