Home / 2,231.16-3,347.27-770.28

Finding the Fourth Proportional to 2,231.16, 3,347.27 and 770.28

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Solution

The fourth proportional to 2,231.16, 3,347.27 and 770.28 is: 1,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.16 : 3,347.27 = 770.28 : x
  2. Step 2: Convert to fraction form
    2,231.16/3,347.27 = 770.28/x
  3. Step 3: Cross multiply
    2,231.16x = 3,347.27 × 770.28
  4. Step 4: Simplify right side
    2,231.16x = 2,578,335.14
  5. Step 5: Solve for x
    x = 2,578,335.14/2,231.16
  6. Step 6: Final answer
    x = 1,155.60

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1.5x scale

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.