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Finding the Fourth Proportional to 1,211.81, 1,816.47 and 471.22

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Solution

The fourth proportional to 1,211.81, 1,816.47 and 471.22 is: 706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.81 : 1,816.47 = 471.22 : x
  2. Step 2: Convert to fraction form
    1,211.81/1,816.47 = 471.22/x
  3. Step 3: Cross multiply
    1,211.81x = 1,816.47 × 471.22
  4. Step 4: Simplify right side
    1,211.81x = 855,956.99
  5. Step 5: Solve for x
    x = 855,956.99/1,211.81
  6. Step 6: Final answer
    x = 706.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.