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Finding the Fourth Proportional to 792.42, 1,183.06 and 714.66

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Solution

The fourth proportional to 792.42, 1,183.06 and 714.66 is: 1,066.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.42 : 1,183.06 = 714.66 : x
  2. Step 2: Convert to fraction form
    792.42/1,183.06 = 714.66/x
  3. Step 3: Cross multiply
    792.42x = 1,183.06 × 714.66
  4. Step 4: Simplify right side
    792.42x = 845,485.66
  5. Step 5: Solve for x
    x = 845,485.66/792.42
  6. Step 6: Final answer
    x = 1,066.97

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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.