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Finding the Fourth Proportional to 1,389.08, 1,917.40 and 829.73

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Solution

The fourth proportional to 1,389.08, 1,917.40 and 829.73 is: 1,145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.08 : 1,917.40 = 829.73 : x
  2. Step 2: Convert to fraction form
    1,389.08/1,917.40 = 829.73/x
  3. Step 3: Cross multiply
    1,389.08x = 1,917.40 × 829.73
  4. Step 4: Simplify right side
    1,389.08x = 1,590,924.30
  5. Step 5: Solve for x
    x = 1,590,924.30/1,389.08
  6. Step 6: Final answer
    x = 1,145.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.