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Finding the Fourth Proportional to 1,942.30, 2,911.56 and 708.94

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Solution

The fourth proportional to 1,942.30, 2,911.56 and 708.94 is: 1,062.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.30 : 2,911.56 = 708.94 : x
  2. Step 2: Convert to fraction form
    1,942.30/2,911.56 = 708.94/x
  3. Step 3: Cross multiply
    1,942.30x = 2,911.56 × 708.94
  4. Step 4: Simplify right side
    1,942.30x = 2,064,121.35
  5. Step 5: Solve for x
    x = 2,064,121.35/1,942.30
  6. Step 6: Final answer
    x = 1,062.72

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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.