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Finding the Fourth Proportional to 1,294.49, 1,942.14 and 429.41

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Solution

The fourth proportional to 1,294.49, 1,942.14 and 429.41 is: 644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.49 : 1,942.14 = 429.41 : x
  2. Step 2: Convert to fraction form
    1,294.49/1,942.14 = 429.41/x
  3. Step 3: Cross multiply
    1,294.49x = 1,942.14 × 429.41
  4. Step 4: Simplify right side
    1,294.49x = 833,974.34
  5. Step 5: Solve for x
    x = 833,974.34/1,294.49
  6. Step 6: Final answer
    x = 644.25

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1.5x scale

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.