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Finding the Fourth Proportional to 1,256.96, 1,734.36 and 733.28

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Solution

The fourth proportional to 1,256.96, 1,734.36 and 733.28 is: 1,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.96 : 1,734.36 = 733.28 : x
  2. Step 2: Convert to fraction form
    1,256.96/1,734.36 = 733.28/x
  3. Step 3: Cross multiply
    1,256.96x = 1,734.36 × 733.28
  4. Step 4: Simplify right side
    1,256.96x = 1,271,771.50
  5. Step 5: Solve for x
    x = 1,271,771.50/1,256.96
  6. Step 6: Final answer
    x = 1,011.78

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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.