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Finding the Fourth Proportional to 1,139.50, 1,700.83 and 1,111.87

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Solution

The fourth proportional to 1,139.50, 1,700.83 and 1,111.87 is: 1,659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.50 : 1,700.83 = 1,111.87 : x
  2. Step 2: Convert to fraction form
    1,139.50/1,700.83 = 1,111.87/x
  3. Step 3: Cross multiply
    1,139.50x = 1,700.83 × 1,111.87
  4. Step 4: Simplify right side
    1,139.50x = 1,891,096.29
  5. Step 5: Solve for x
    x = 1,891,096.29/1,139.50
  6. Step 6: Final answer
    x = 1,659.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.