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Finding the Fourth Proportional to 1,719.25, 2,578.89 and 565

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Solution

The fourth proportional to 1,719.25, 2,578.89 and 565 is: 847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.25 : 2,578.89 = 565 : x
  2. Step 2: Convert to fraction form
    1,719.25/2,578.89 = 565/x
  3. Step 3: Cross multiply
    1,719.25x = 2,578.89 × 565
  4. Step 4: Simplify right side
    1,719.25x = 1,457,072.85
  5. Step 5: Solve for x
    x = 1,457,072.85/1,719.25
  6. Step 6: Final answer
    x = 847.50

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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.