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Finding the Fourth Proportional to 1,294.88, 1,942.52 and 429.39

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Solution

The fourth proportional to 1,294.88, 1,942.52 and 429.39 is: 644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.88 : 1,942.52 = 429.39 : x
  2. Step 2: Convert to fraction form
    1,294.88/1,942.52 = 429.39/x
  3. Step 3: Cross multiply
    1,294.88x = 1,942.52 × 429.39
  4. Step 4: Simplify right side
    1,294.88x = 834,098.66
  5. Step 5: Solve for x
    x = 834,098.66/1,294.88
  6. Step 6: Final answer
    x = 644.15

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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.