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Finding the Fourth Proportional to 711.44, 981.62 and 416.56

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Solution

The fourth proportional to 711.44, 981.62 and 416.56 is: 574.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.44 : 981.62 = 416.56 : x
  2. Step 2: Convert to fraction form
    711.44/981.62 = 416.56/x
  3. Step 3: Cross multiply
    711.44x = 981.62 × 416.56
  4. Step 4: Simplify right side
    711.44x = 408,899.09
  5. Step 5: Solve for x
    x = 408,899.09/711.44
  6. Step 6: Final answer
    x = 574.75

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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.