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Finding the Fourth Proportional to 2,231.66, 3,347.46 and 770.78

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Solution

The fourth proportional to 2,231.66, 3,347.46 and 770.78 is: 1,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.66 : 3,347.46 = 770.78 : x
  2. Step 2: Convert to fraction form
    2,231.66/3,347.46 = 770.78/x
  3. Step 3: Cross multiply
    2,231.66x = 3,347.46 × 770.78
  4. Step 4: Simplify right side
    2,231.66x = 2,580,155.22
  5. Step 5: Solve for x
    x = 2,580,155.22/2,231.66
  6. Step 6: Final answer
    x = 1,156.16

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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.