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Finding the Fourth Proportional to 795.13, 1,192.08 and 429.41

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Solution

The fourth proportional to 795.13, 1,192.08 and 429.41 is: 643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.13 : 1,192.08 = 429.41 : x
  2. Step 2: Convert to fraction form
    795.13/1,192.08 = 429.41/x
  3. Step 3: Cross multiply
    795.13x = 1,192.08 × 429.41
  4. Step 4: Simplify right side
    795.13x = 511,891.07
  5. Step 5: Solve for x
    x = 511,891.07/795.13
  6. Step 6: Final answer
    x = 643.78

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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.