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Finding the Fourth Proportional to 1,293.24, 1,785.24 and 902.28

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Solution

The fourth proportional to 1,293.24, 1,785.24 and 902.28 is: 1,245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.24 : 1,785.24 = 902.28 : x
  2. Step 2: Convert to fraction form
    1,293.24/1,785.24 = 902.28/x
  3. Step 3: Cross multiply
    1,293.24x = 1,785.24 × 902.28
  4. Step 4: Simplify right side
    1,293.24x = 1,610,786.35
  5. Step 5: Solve for x
    x = 1,610,786.35/1,293.24
  6. Step 6: Final answer
    x = 1,245.54

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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.