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Finding the Fourth Proportional to 711, 980.85 and 416.13

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Solution

The fourth proportional to 711, 980.85 and 416.13 is: 574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    711 : 980.85 = 416.13 : x
  2. Step 2: Convert to fraction form
    711/980.85 = 416.13/x
  3. Step 3: Cross multiply
    711x = 980.85 × 416.13
  4. Step 4: Simplify right side
    711x = 408,161.11
  5. Step 5: Solve for x
    x = 408,161.11/711
  6. Step 6: Final answer
    x = 574.07

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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.