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Finding the Fourth Proportional to 709, 978.06 and 414.20

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Solution

The fourth proportional to 709, 978.06 and 414.20 is: 571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    709 : 978.06 = 414.20 : x
  2. Step 2: Convert to fraction form
    709/978.06 = 414.20/x
  3. Step 3: Cross multiply
    709x = 978.06 × 414.20
  4. Step 4: Simplify right side
    709x = 405,112.45
  5. Step 5: Solve for x
    x = 405,112.45/709
  6. Step 6: Final answer
    x = 571.39

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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.