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Finding the Fourth Proportional to 1,205.81, 1,808.71 and 719.81

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Solution

The fourth proportional to 1,205.81, 1,808.71 and 719.81 is: 1,079.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.81 : 1,808.71 = 719.81 : x
  2. Step 2: Convert to fraction form
    1,205.81/1,808.71 = 719.81/x
  3. Step 3: Cross multiply
    1,205.81x = 1,808.71 × 719.81
  4. Step 4: Simplify right side
    1,205.81x = 1,301,927.55
  5. Step 5: Solve for x
    x = 1,301,927.55/1,205.81
  6. Step 6: Final answer
    x = 1,079.71

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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.