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Finding the Fourth Proportional to 795.11, 1,193.56 and 405.55

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Solution

The fourth proportional to 795.11, 1,193.56 and 405.55 is: 608.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.11 : 1,193.56 = 405.55 : x
  2. Step 2: Convert to fraction form
    795.11/1,193.56 = 405.55/x
  3. Step 3: Cross multiply
    795.11x = 1,193.56 × 405.55
  4. Step 4: Simplify right side
    795.11x = 484,048.26
  5. Step 5: Solve for x
    x = 484,048.26/795.11
  6. Step 6: Final answer
    x = 608.78

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1.5x scale

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.