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Finding the Fourth Proportional to 711.28, 981.38 and 416.44

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Solution

The fourth proportional to 711.28, 981.38 and 416.44 is: 574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.28 : 981.38 = 416.44 : x
  2. Step 2: Convert to fraction form
    711.28/981.38 = 416.44/x
  3. Step 3: Cross multiply
    711.28x = 981.38 × 416.44
  4. Step 4: Simplify right side
    711.28x = 408,685.89
  5. Step 5: Solve for x
    x = 408,685.89/711.28
  6. Step 6: Final answer
    x = 574.58

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1.5x scale

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.