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Finding the Fourth Proportional to 793.02, 1,093.64 and 493.89

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Solution

The fourth proportional to 793.02, 1,093.64 and 493.89 is: 681.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.02 : 1,093.64 = 493.89 : x
  2. Step 2: Convert to fraction form
    793.02/1,093.64 = 493.89/x
  3. Step 3: Cross multiply
    793.02x = 1,093.64 × 493.89
  4. Step 4: Simplify right side
    793.02x = 540,137.86
  5. Step 5: Solve for x
    x = 540,137.86/793.02
  6. Step 6: Final answer
    x = 681.12

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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.