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Finding the Fourth Proportional to 1,379.23, 1,903.60 and 906.29

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Solution

The fourth proportional to 1,379.23, 1,903.60 and 906.29 is: 1,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.23 : 1,903.60 = 906.29 : x
  2. Step 2: Convert to fraction form
    1,379.23/1,903.60 = 906.29/x
  3. Step 3: Cross multiply
    1,379.23x = 1,903.60 × 906.29
  4. Step 4: Simplify right side
    1,379.23x = 1,725,212.40
  5. Step 5: Solve for x
    x = 1,725,212.40/1,379.23
  6. Step 6: Final answer
    x = 1,250.85

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1.5x scale

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.