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Finding the Fourth Proportional to 1,292.76, 1,939.14 and 561.94

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Solution

The fourth proportional to 1,292.76, 1,939.14 and 561.94 is: 842.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.76 : 1,939.14 = 561.94 : x
  2. Step 2: Convert to fraction form
    1,292.76/1,939.14 = 561.94/x
  3. Step 3: Cross multiply
    1,292.76x = 1,939.14 × 561.94
  4. Step 4: Simplify right side
    1,292.76x = 1,089,675.48
  5. Step 5: Solve for x
    x = 1,089,675.48/1,292.76
  6. Step 6: Final answer
    x = 842.91

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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.