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Finding the Fourth Proportional to 1,101.36, 1,520.46 and 770.07

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Solution

The fourth proportional to 1,101.36, 1,520.46 and 770.07 is: 1,063.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.36 : 1,520.46 = 770.07 : x
  2. Step 2: Convert to fraction form
    1,101.36/1,520.46 = 770.07/x
  3. Step 3: Cross multiply
    1,101.36x = 1,520.46 × 770.07
  4. Step 4: Simplify right side
    1,101.36x = 1,170,860.63
  5. Step 5: Solve for x
    x = 1,170,860.63/1,101.36
  6. Step 6: Final answer
    x = 1,063.10

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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.