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Finding the Fourth Proportional to 1,367.46, 1,886.99 and 770.04

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Solution

The fourth proportional to 1,367.46, 1,886.99 and 770.04 is: 1,062.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.46 : 1,886.99 = 770.04 : x
  2. Step 2: Convert to fraction form
    1,367.46/1,886.99 = 770.04/x
  3. Step 3: Cross multiply
    1,367.46x = 1,886.99 × 770.04
  4. Step 4: Simplify right side
    1,367.46x = 1,453,053.93
  5. Step 5: Solve for x
    x = 1,453,053.93/1,367.46
  6. Step 6: Final answer
    x = 1,062.59

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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.