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Finding the Fourth Proportional to 1,858.54, 2,788.14 and 763.69

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Solution

The fourth proportional to 1,858.54, 2,788.14 and 763.69 is: 1,145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.54 : 2,788.14 = 763.69 : x
  2. Step 2: Convert to fraction form
    1,858.54/2,788.14 = 763.69/x
  3. Step 3: Cross multiply
    1,858.54x = 2,788.14 × 763.69
  4. Step 4: Simplify right side
    1,858.54x = 2,129,274.64
  5. Step 5: Solve for x
    x = 2,129,274.64/1,858.54
  6. Step 6: Final answer
    x = 1,145.67

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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.