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Finding the Fourth Proportional to 710.82, 980.94 and 416.05

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Solution

The fourth proportional to 710.82, 980.94 and 416.05 is: 574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.82 : 980.94 = 416.05 : x
  2. Step 2: Convert to fraction form
    710.82/980.94 = 416.05/x
  3. Step 3: Cross multiply
    710.82x = 980.94 × 416.05
  4. Step 4: Simplify right side
    710.82x = 408,119.19
  5. Step 5: Solve for x
    x = 408,119.19/710.82
  6. Step 6: Final answer
    x = 574.15

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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.