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Finding the Fourth Proportional to 1,719.09, 2,578.50 and 549.09

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Solution

The fourth proportional to 1,719.09, 2,578.50 and 549.09 is: 823.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.09 : 2,578.50 = 549.09 : x
  2. Step 2: Convert to fraction form
    1,719.09/2,578.50 = 549.09/x
  3. Step 3: Cross multiply
    1,719.09x = 2,578.50 × 549.09
  4. Step 4: Simplify right side
    1,719.09x = 1,415,828.57
  5. Step 5: Solve for x
    x = 1,415,828.57/1,719.09
  6. Step 6: Final answer
    x = 823.59

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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.