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Finding the Fourth Proportional to 795.14, 1,192.70 and 308.53

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Solution

The fourth proportional to 795.14, 1,192.70 and 308.53 is: 462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.14 : 1,192.70 = 308.53 : x
  2. Step 2: Convert to fraction form
    795.14/1,192.70 = 308.53/x
  3. Step 3: Cross multiply
    795.14x = 1,192.70 × 308.53
  4. Step 4: Simplify right side
    795.14x = 367,979.21
  5. Step 5: Solve for x
    x = 367,979.21/795.14
  6. Step 6: Final answer
    x = 462.79

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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.