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Finding the Fourth Proportional to 800.54, 1,199.16 and 790.82

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Solution

The fourth proportional to 800.54, 1,199.16 and 790.82 is: 1,184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.54 : 1,199.16 = 790.82 : x
  2. Step 2: Convert to fraction form
    800.54/1,199.16 = 790.82/x
  3. Step 3: Cross multiply
    800.54x = 1,199.16 × 790.82
  4. Step 4: Simplify right side
    800.54x = 948,313.72
  5. Step 5: Solve for x
    x = 948,313.72/800.54
  6. Step 6: Final answer
    x = 1,184.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.