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Finding the Fourth Proportional to 792.45, 1,093.50 and 460.89

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Solution

The fourth proportional to 792.45, 1,093.50 and 460.89 is: 635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.45 : 1,093.50 = 460.89 : x
  2. Step 2: Convert to fraction form
    792.45/1,093.50 = 460.89/x
  3. Step 3: Cross multiply
    792.45x = 1,093.50 × 460.89
  4. Step 4: Simplify right side
    792.45x = 503,983.22
  5. Step 5: Solve for x
    x = 503,983.22/792.45
  6. Step 6: Final answer
    x = 635.98

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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.