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Finding the Fourth Proportional to 1,807.36, 2,709 and 711.16

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Solution

The fourth proportional to 1,807.36, 2,709 and 711.16 is: 1,065.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.36 : 2,709 = 711.16 : x
  2. Step 2: Convert to fraction form
    1,807.36/2,709 = 711.16/x
  3. Step 3: Cross multiply
    1,807.36x = 2,709 × 711.16
  4. Step 4: Simplify right side
    1,807.36x = 1,926,532.44
  5. Step 5: Solve for x
    x = 1,926,532.44/1,807.36
  6. Step 6: Final answer
    x = 1,065.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.