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Finding the Fourth Proportional to 1,195.80, 1,785.03 and 1,050

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Solution

The fourth proportional to 1,195.80, 1,785.03 and 1,050 is: 1,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.80 : 1,785.03 = 1,050 : x
  2. Step 2: Convert to fraction form
    1,195.80/1,785.03 = 1,050/x
  3. Step 3: Cross multiply
    1,195.80x = 1,785.03 × 1,050
  4. Step 4: Simplify right side
    1,195.80x = 1,874,281.50
  5. Step 5: Solve for x
    x = 1,874,281.50/1,195.80
  6. Step 6: Final answer
    x = 1,567.39

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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.