Home / 1,294.26-1,942.20-524.76

Finding the Fourth Proportional to 1,294.26, 1,942.20 and 524.76

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Solution

The fourth proportional to 1,294.26, 1,942.20 and 524.76 is: 787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.26 : 1,942.20 = 524.76 : x
  2. Step 2: Convert to fraction form
    1,294.26/1,942.20 = 524.76/x
  3. Step 3: Cross multiply
    1,294.26x = 1,942.20 × 524.76
  4. Step 4: Simplify right side
    1,294.26x = 1,019,188.87
  5. Step 5: Solve for x
    x = 1,019,188.87/1,294.26
  6. Step 6: Final answer
    x = 787.47

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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.