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Finding the Fourth Proportional to 1,173.06, 1,616.06 and 818.33

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Solution

The fourth proportional to 1,173.06, 1,616.06 and 818.33 is: 1,127.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.06 : 1,616.06 = 818.33 : x
  2. Step 2: Convert to fraction form
    1,173.06/1,616.06 = 818.33/x
  3. Step 3: Cross multiply
    1,173.06x = 1,616.06 × 818.33
  4. Step 4: Simplify right side
    1,173.06x = 1,322,470.38
  5. Step 5: Solve for x
    x = 1,322,470.38/1,173.06
  6. Step 6: Final answer
    x = 1,127.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.