Home / 1,294.36-1,941.82-428.64

Finding the Fourth Proportional to 1,294.36, 1,941.82 and 428.64

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Solution

The fourth proportional to 1,294.36, 1,941.82 and 428.64 is: 643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.36 : 1,941.82 = 428.64 : x
  2. Step 2: Convert to fraction form
    1,294.36/1,941.82 = 428.64/x
  3. Step 3: Cross multiply
    1,294.36x = 1,941.82 × 428.64
  4. Step 4: Simplify right side
    1,294.36x = 832,341.72
  5. Step 5: Solve for x
    x = 832,341.72/1,294.36
  6. Step 6: Final answer
    x = 643.05

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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.