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Finding the Fourth Proportional to 711, 980.94 and 416.28

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Solution

The fourth proportional to 711, 980.94 and 416.28 is: 574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    711 : 980.94 = 416.28 : x
  2. Step 2: Convert to fraction form
    711/980.94 = 416.28/x
  3. Step 3: Cross multiply
    711x = 980.94 × 416.28
  4. Step 4: Simplify right side
    711x = 408,345.70
  5. Step 5: Solve for x
    x = 408,345.70/711
  6. Step 6: Final answer
    x = 574.33

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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.