Home / 1,122.40-1,683.68-300.66

Finding the Fourth Proportional to 1,122.40, 1,683.68 and 300.66

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Solution

The fourth proportional to 1,122.40, 1,683.68 and 300.66 is: 451.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.40 : 1,683.68 = 300.66 : x
  2. Step 2: Convert to fraction form
    1,122.40/1,683.68 = 300.66/x
  3. Step 3: Cross multiply
    1,122.40x = 1,683.68 × 300.66
  4. Step 4: Simplify right side
    1,122.40x = 506,215.23
  5. Step 5: Solve for x
    x = 506,215.23/1,122.40
  6. Step 6: Final answer
    x = 451.01

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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.