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Finding the Fourth Proportional to 794.64, 1,187.16 and 665.04

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Solution

The fourth proportional to 794.64, 1,187.16 and 665.04 is: 993.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.64 : 1,187.16 = 665.04 : x
  2. Step 2: Convert to fraction form
    794.64/1,187.16 = 665.04/x
  3. Step 3: Cross multiply
    794.64x = 1,187.16 × 665.04
  4. Step 4: Simplify right side
    794.64x = 789,508.89
  5. Step 5: Solve for x
    x = 789,508.89/794.64
  6. Step 6: Final answer
    x = 993.54

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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.