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Finding the Fourth Proportional to 2,068.68, 3,103.70 and 770.25

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Solution

The fourth proportional to 2,068.68, 3,103.70 and 770.25 is: 1,155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.68 : 3,103.70 = 770.25 : x
  2. Step 2: Convert to fraction form
    2,068.68/3,103.70 = 770.25/x
  3. Step 3: Cross multiply
    2,068.68x = 3,103.70 × 770.25
  4. Step 4: Simplify right side
    2,068.68x = 2,390,621.07
  5. Step 5: Solve for x
    x = 2,390,621.07/2,068.68
  6. Step 6: Final answer
    x = 1,155.63

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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.