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Finding the Fourth Proportional to 795.45, 1,192.64 and 275.21

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Solution

The fourth proportional to 795.45, 1,192.64 and 275.21 is: 412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.45 : 1,192.64 = 275.21 : x
  2. Step 2: Convert to fraction form
    795.45/1,192.64 = 275.21/x
  3. Step 3: Cross multiply
    795.45x = 1,192.64 × 275.21
  4. Step 4: Simplify right side
    795.45x = 328,219.12
  5. Step 5: Solve for x
    x = 328,219.12/795.45
  6. Step 6: Final answer
    x = 412.62

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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.