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Finding the Fourth Proportional to 1,189.98, 1,782.54 and 957.78

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Solution

The fourth proportional to 1,189.98, 1,782.54 and 957.78 is: 1,434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.98 : 1,782.54 = 957.78 : x
  2. Step 2: Convert to fraction form
    1,189.98/1,782.54 = 957.78/x
  3. Step 3: Cross multiply
    1,189.98x = 1,782.54 × 957.78
  4. Step 4: Simplify right side
    1,189.98x = 1,707,281.16
  5. Step 5: Solve for x
    x = 1,707,281.16/1,189.98
  6. Step 6: Final answer
    x = 1,434.71

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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.