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Finding the Fourth Proportional to 1,719.38, 2,578.63 and 486.72

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Solution

The fourth proportional to 1,719.38, 2,578.63 and 486.72 is: 729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.38 : 2,578.63 = 486.72 : x
  2. Step 2: Convert to fraction form
    1,719.38/2,578.63 = 486.72/x
  3. Step 3: Cross multiply
    1,719.38x = 2,578.63 × 486.72
  4. Step 4: Simplify right side
    1,719.38x = 1,255,070.79
  5. Step 5: Solve for x
    x = 1,255,070.79/1,719.38
  6. Step 6: Final answer
    x = 729.96

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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.