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Finding the Fourth Proportional to 1,674.19, 2,512.43 and 578.55

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Solution

The fourth proportional to 1,674.19, 2,512.43 and 578.55 is: 868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.19 : 2,512.43 = 578.55 : x
  2. Step 2: Convert to fraction form
    1,674.19/2,512.43 = 578.55/x
  3. Step 3: Cross multiply
    1,674.19x = 2,512.43 × 578.55
  4. Step 4: Simplify right side
    1,674.19x = 1,453,563.52
  5. Step 5: Solve for x
    x = 1,453,563.52/1,674.19
  6. Step 6: Final answer
    x = 868.22

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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.