Home / 1,161.16-1,740.14-770.12

Finding the Fourth Proportional to 1,161.16, 1,740.14 and 770.12

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Solution

The fourth proportional to 1,161.16, 1,740.14 and 770.12 is: 1,154.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.16 : 1,740.14 = 770.12 : x
  2. Step 2: Convert to fraction form
    1,161.16/1,740.14 = 770.12/x
  3. Step 3: Cross multiply
    1,161.16x = 1,740.14 × 770.12
  4. Step 4: Simplify right side
    1,161.16x = 1,340,116.62
  5. Step 5: Solve for x
    x = 1,340,116.62/1,161.16
  6. Step 6: Final answer
    x = 1,154.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.