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Finding the Fourth Proportional to 792.08, 1,093 and 442.72

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Solution

The fourth proportional to 792.08, 1,093 and 442.72 is: 610.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.08 : 1,093 = 442.72 : x
  2. Step 2: Convert to fraction form
    792.08/1,093 = 442.72/x
  3. Step 3: Cross multiply
    792.08x = 1,093 × 442.72
  4. Step 4: Simplify right side
    792.08x = 483,892.96
  5. Step 5: Solve for x
    x = 483,892.96/792.08
  6. Step 6: Final answer
    x = 610.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.