Home / 1,205.40-1,808.10-986.70

Finding the Fourth Proportional to 1,205.40, 1,808.10 and 986.70

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Solution

The fourth proportional to 1,205.40, 1,808.10 and 986.70 is: 1,480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.40 : 1,808.10 = 986.70 : x
  2. Step 2: Convert to fraction form
    1,205.40/1,808.10 = 986.70/x
  3. Step 3: Cross multiply
    1,205.40x = 1,808.10 × 986.70
  4. Step 4: Simplify right side
    1,205.40x = 1,784,052.27
  5. Step 5: Solve for x
    x = 1,784,052.27/1,205.40
  6. Step 6: Final answer
    x = 1,480.05

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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.