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Finding the Fourth Proportional to 2,653.02, 3,979.73 and 705.20

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Solution

The fourth proportional to 2,653.02, 3,979.73 and 705.20 is: 1,057.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.02 : 3,979.73 = 705.20 : x
  2. Step 2: Convert to fraction form
    2,653.02/3,979.73 = 705.20/x
  3. Step 3: Cross multiply
    2,653.02x = 3,979.73 × 705.20
  4. Step 4: Simplify right side
    2,653.02x = 2,806,487.46
  5. Step 5: Solve for x
    x = 2,806,487.46/2,653.02
  6. Step 6: Final answer
    x = 1,057.85

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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.