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Finding the Fourth Proportional to 794.09, 1,191.47 and 429.13

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Solution

The fourth proportional to 794.09, 1,191.47 and 429.13 is: 643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.09 : 1,191.47 = 429.13 : x
  2. Step 2: Convert to fraction form
    794.09/1,191.47 = 429.13/x
  3. Step 3: Cross multiply
    794.09x = 1,191.47 × 429.13
  4. Step 4: Simplify right side
    794.09x = 511,301.12
  5. Step 5: Solve for x
    x = 511,301.12/794.09
  6. Step 6: Final answer
    x = 643.88

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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.