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Finding the Fourth Proportional to 1,674.92, 2,511.75 and 579.02

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Solution

The fourth proportional to 1,674.92, 2,511.75 and 579.02 is: 868.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.92 : 2,511.75 = 579.02 : x
  2. Step 2: Convert to fraction form
    1,674.92/2,511.75 = 579.02/x
  3. Step 3: Cross multiply
    1,674.92x = 2,511.75 × 579.02
  4. Step 4: Simplify right side
    1,674.92x = 1,454,353.49
  5. Step 5: Solve for x
    x = 1,454,353.49/1,674.92
  6. Step 6: Final answer
    x = 868.31

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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.