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Finding the Fourth Proportional to 1,122.80, 1,683.27 and 976.21

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Solution

The fourth proportional to 1,122.80, 1,683.27 and 976.21 is: 1,463.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.80 : 1,683.27 = 976.21 : x
  2. Step 2: Convert to fraction form
    1,122.80/1,683.27 = 976.21/x
  3. Step 3: Cross multiply
    1,122.80x = 1,683.27 × 976.21
  4. Step 4: Simplify right side
    1,122.80x = 1,643,220.80
  5. Step 5: Solve for x
    x = 1,643,220.80/1,122.80
  6. Step 6: Final answer
    x = 1,463.51

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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.