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Finding the Fourth Proportional to 1,905.40, 2,858.10 and 672.85

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Solution

The fourth proportional to 1,905.40, 2,858.10 and 672.85 is: 1,009.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.40 : 2,858.10 = 672.85 : x
  2. Step 2: Convert to fraction form
    1,905.40/2,858.10 = 672.85/x
  3. Step 3: Cross multiply
    1,905.40x = 2,858.10 × 672.85
  4. Step 4: Simplify right side
    1,905.40x = 1,923,072.59
  5. Step 5: Solve for x
    x = 1,923,072.59/1,905.40
  6. Step 6: Final answer
    x = 1,009.28

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1.5x scale

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.