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Finding the Fourth Proportional to 2,230.53, 3,347.19 and 770.73

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Solution

The fourth proportional to 2,230.53, 3,347.19 and 770.73 is: 1,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.53 : 3,347.19 = 770.73 : x
  2. Step 2: Convert to fraction form
    2,230.53/3,347.19 = 770.73/x
  3. Step 3: Cross multiply
    2,230.53x = 3,347.19 × 770.73
  4. Step 4: Simplify right side
    2,230.53x = 2,579,779.75
  5. Step 5: Solve for x
    x = 2,579,779.75/2,230.53
  6. Step 6: Final answer
    x = 1,156.58

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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.