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Finding the Fourth Proportional to 711.38, 981 and 471.67

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Solution

The fourth proportional to 711.38, 981 and 471.67 is: 650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.38 : 981 = 471.67 : x
  2. Step 2: Convert to fraction form
    711.38/981 = 471.67/x
  3. Step 3: Cross multiply
    711.38x = 981 × 471.67
  4. Step 4: Simplify right side
    711.38x = 462,705.82
  5. Step 5: Solve for x
    x = 462,705.82/711.38
  6. Step 6: Final answer
    x = 650.43

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Double scale
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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.