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Finding the Fourth Proportional to 1,205.91, 1,800.81 and 1,030.75

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Solution

The fourth proportional to 1,205.91, 1,800.81 and 1,030.75 is: 1,539.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.91 : 1,800.81 = 1,030.75 : x
  2. Step 2: Convert to fraction form
    1,205.91/1,800.81 = 1,030.75/x
  3. Step 3: Cross multiply
    1,205.91x = 1,800.81 × 1,030.75
  4. Step 4: Simplify right side
    1,205.91x = 1,856,180.41
  5. Step 5: Solve for x
    x = 1,856,180.41/1,205.91
  6. Step 6: Final answer
    x = 1,539.24

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Why These Related Problems?

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