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Finding the Fourth Proportional to 1,267.68, 1,749.60 and 770.64

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Solution

The fourth proportional to 1,267.68, 1,749.60 and 770.64 is: 1,063.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.68 : 1,749.60 = 770.64 : x
  2. Step 2: Convert to fraction form
    1,267.68/1,749.60 = 770.64/x
  3. Step 3: Cross multiply
    1,267.68x = 1,749.60 × 770.64
  4. Step 4: Simplify right side
    1,267.68x = 1,348,311.74
  5. Step 5: Solve for x
    x = 1,348,311.74/1,267.68
  6. Step 6: Final answer
    x = 1,063.61

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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.