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Finding the Fourth Proportional to 1,121.99, 1,683.07 and 342.06

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Solution

The fourth proportional to 1,121.99, 1,683.07 and 342.06 is: 513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.99 : 1,683.07 = 342.06 : x
  2. Step 2: Convert to fraction form
    1,121.99/1,683.07 = 342.06/x
  3. Step 3: Cross multiply
    1,121.99x = 1,683.07 × 342.06
  4. Step 4: Simplify right side
    1,121.99x = 575,710.92
  5. Step 5: Solve for x
    x = 575,710.92/1,121.99
  6. Step 6: Final answer
    x = 513.12

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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.