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Finding the Fourth Proportional to 761.92, 1,143.08 and 274.98

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Solution

The fourth proportional to 761.92, 1,143.08 and 274.98 is: 412.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.92 : 1,143.08 = 274.98 : x
  2. Step 2: Convert to fraction form
    761.92/1,143.08 = 274.98/x
  3. Step 3: Cross multiply
    761.92x = 1,143.08 × 274.98
  4. Step 4: Simplify right side
    761.92x = 314,324.14
  5. Step 5: Solve for x
    x = 314,324.14/761.92
  6. Step 6: Final answer
    x = 412.54

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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.