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Finding the Fourth Proportional to 1,267.65, 1,749.69 and 770.63

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Solution

The fourth proportional to 1,267.65, 1,749.69 and 770.63 is: 1,063.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.65 : 1,749.69 = 770.63 : x
  2. Step 2: Convert to fraction form
    1,267.65/1,749.69 = 770.63/x
  3. Step 3: Cross multiply
    1,267.65x = 1,749.69 × 770.63
  4. Step 4: Simplify right side
    1,267.65x = 1,348,354.86
  5. Step 5: Solve for x
    x = 1,348,354.86/1,267.65
  6. Step 6: Final answer
    x = 1,063.66

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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.