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Finding the Fourth Proportional to 795.24, 1,191.90 and 361.80

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Solution

The fourth proportional to 795.24, 1,191.90 and 361.80 is: 542.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.24 : 1,191.90 = 361.80 : x
  2. Step 2: Convert to fraction form
    795.24/1,191.90 = 361.80/x
  3. Step 3: Cross multiply
    795.24x = 1,191.90 × 361.80
  4. Step 4: Simplify right side
    795.24x = 431,229.42
  5. Step 5: Solve for x
    x = 431,229.42/795.24
  6. Step 6: Final answer
    x = 542.26

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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.