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Finding the Fourth Proportional to 1,122.15, 1,683.53 and 999.59

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Solution

The fourth proportional to 1,122.15, 1,683.53 and 999.59 is: 1,499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.15 : 1,683.53 = 999.59 : x
  2. Step 2: Convert to fraction form
    1,122.15/1,683.53 = 999.59/x
  3. Step 3: Cross multiply
    1,122.15x = 1,683.53 × 999.59
  4. Step 4: Simplify right side
    1,122.15x = 1,682,845.18
  5. Step 5: Solve for x
    x = 1,682,845.18/1,122.15
  6. Step 6: Final answer
    x = 1,499.66

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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.