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Finding the Fourth Proportional to 1,966.57, 2,949.03 and 579.40

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Solution

The fourth proportional to 1,966.57, 2,949.03 and 579.40 is: 868.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.57 : 2,949.03 = 579.40 : x
  2. Step 2: Convert to fraction form
    1,966.57/2,949.03 = 579.40/x
  3. Step 3: Cross multiply
    1,966.57x = 2,949.03 × 579.40
  4. Step 4: Simplify right side
    1,966.57x = 1,708,653.24
  5. Step 5: Solve for x
    x = 1,708,653.24/1,966.57
  6. Step 6: Final answer
    x = 868.85

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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.