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Finding the Fourth Proportional to 796.61, 1,193.87 and 385.00

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Solution

The fourth proportional to 796.61, 1,193.87 and 385.00 is: 576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.61 : 1,193.87 = 385.00 : x
  2. Step 2: Convert to fraction form
    796.61/1,193.87 = 385.00/x
  3. Step 3: Cross multiply
    796.61x = 1,193.87 × 385.00
  4. Step 4: Simplify right side
    796.61x = 459,637.93
  5. Step 5: Solve for x
    x = 459,637.93/796.61
  6. Step 6: Final answer
    x = 576.99

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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.