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Finding the Fourth Proportional to 2,293.48, 3,440.40 and 906.88

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Solution

The fourth proportional to 2,293.48, 3,440.40 and 906.88 is: 1,360.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.48 : 3,440.40 = 906.88 : x
  2. Step 2: Convert to fraction form
    2,293.48/3,440.40 = 906.88/x
  3. Step 3: Cross multiply
    2,293.48x = 3,440.40 × 906.88
  4. Step 4: Simplify right side
    2,293.48x = 3,120,029.95
  5. Step 5: Solve for x
    x = 3,120,029.95/2,293.48
  6. Step 6: Final answer
    x = 1,360.39

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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.