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Finding the Fourth Proportional to 1,122.81, 1,683.27 and 473.46

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Solution

The fourth proportional to 1,122.81, 1,683.27 and 473.46 is: 709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.81 : 1,683.27 = 473.46 : x
  2. Step 2: Convert to fraction form
    1,122.81/1,683.27 = 473.46/x
  3. Step 3: Cross multiply
    1,122.81x = 1,683.27 × 473.46
  4. Step 4: Simplify right side
    1,122.81x = 796,961.01
  5. Step 5: Solve for x
    x = 796,961.01/1,122.81
  6. Step 6: Final answer
    x = 709.79

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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.