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Finding the Fourth Proportional to 1,057.34, 1,579.98 and 792.06

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Solution

The fourth proportional to 1,057.34, 1,579.98 and 792.06 is: 1,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.34 : 1,579.98 = 792.06 : x
  2. Step 2: Convert to fraction form
    1,057.34/1,579.98 = 792.06/x
  3. Step 3: Cross multiply
    1,057.34x = 1,579.98 × 792.06
  4. Step 4: Simplify right side
    1,057.34x = 1,251,438.96
  5. Step 5: Solve for x
    x = 1,251,438.96/1,057.34
  6. Step 6: Final answer
    x = 1,183.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.