Home / 2,231.02-3,345.93-770.50

Finding the Fourth Proportional to 2,231.02, 3,345.93 and 770.50

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Solution

The fourth proportional to 2,231.02, 3,345.93 and 770.50 is: 1,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.02 : 3,345.93 = 770.50 : x
  2. Step 2: Convert to fraction form
    2,231.02/3,345.93 = 770.50/x
  3. Step 3: Cross multiply
    2,231.02x = 3,345.93 × 770.50
  4. Step 4: Simplify right side
    2,231.02x = 2,578,039.07
  5. Step 5: Solve for x
    x = 2,578,039.07/2,231.02
  6. Step 6: Final answer
    x = 1,155.54

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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.