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Finding the Fourth Proportional to 781.69, 1,172.41 and 429.43

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Solution

The fourth proportional to 781.69, 1,172.41 and 429.43 is: 644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.69 : 1,172.41 = 429.43 : x
  2. Step 2: Convert to fraction form
    781.69/1,172.41 = 429.43/x
  3. Step 3: Cross multiply
    781.69x = 1,172.41 × 429.43
  4. Step 4: Simplify right side
    781.69x = 503,468.03
  5. Step 5: Solve for x
    x = 503,468.03/781.69
  6. Step 6: Final answer
    x = 644.08

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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.