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Finding the Fourth Proportional to 1,719, 2,578.11 and 486.52

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Solution

The fourth proportional to 1,719, 2,578.11 and 486.52 is: 729.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719 : 2,578.11 = 486.52 : x
  2. Step 2: Convert to fraction form
    1,719/2,578.11 = 486.52/x
  3. Step 3: Cross multiply
    1,719x = 2,578.11 × 486.52
  4. Step 4: Simplify right side
    1,719x = 1,254,302.08
  5. Step 5: Solve for x
    x = 1,254,302.08/1,719
  6. Step 6: Final answer
    x = 729.67

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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.