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Finding the Fourth Proportional to 2,525.69, 3,788.08 and 770.28

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Solution

The fourth proportional to 2,525.69, 3,788.08 and 770.28 is: 1,155.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.69 : 3,788.08 = 770.28 : x
  2. Step 2: Convert to fraction form
    2,525.69/3,788.08 = 770.28/x
  3. Step 3: Cross multiply
    2,525.69x = 3,788.08 × 770.28
  4. Step 4: Simplify right side
    2,525.69x = 2,917,882.26
  5. Step 5: Solve for x
    x = 2,917,882.26/2,525.69
  6. Step 6: Final answer
    x = 1,155.28

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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.