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Finding the Fourth Proportional to 792.98, 1,093.53 and 626.86

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Solution

The fourth proportional to 792.98, 1,093.53 and 626.86 is: 864.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.98 : 1,093.53 = 626.86 : x
  2. Step 2: Convert to fraction form
    792.98/1,093.53 = 626.86/x
  3. Step 3: Cross multiply
    792.98x = 1,093.53 × 626.86
  4. Step 4: Simplify right side
    792.98x = 685,490.22
  5. Step 5: Solve for x
    x = 685,490.22/792.98
  6. Step 6: Final answer
    x = 864.45

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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.