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Finding the Fourth Proportional to 1,674.06, 2,511.42 and 578.40

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Solution

The fourth proportional to 1,674.06, 2,511.42 and 578.40 is: 867.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.06 : 2,511.42 = 578.40 : x
  2. Step 2: Convert to fraction form
    1,674.06/2,511.42 = 578.40/x
  3. Step 3: Cross multiply
    1,674.06x = 2,511.42 × 578.40
  4. Step 4: Simplify right side
    1,674.06x = 1,452,605.33
  5. Step 5: Solve for x
    x = 1,452,605.33/1,674.06
  6. Step 6: Final answer
    x = 867.71

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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.