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Finding the Fourth Proportional to 761.72, 1,143.05 and 299.41

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Solution

The fourth proportional to 761.72, 1,143.05 and 299.41 is: 449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.72 : 1,143.05 = 299.41 : x
  2. Step 2: Convert to fraction form
    761.72/1,143.05 = 299.41/x
  3. Step 3: Cross multiply
    761.72x = 1,143.05 × 299.41
  4. Step 4: Simplify right side
    761.72x = 342,242.68
  5. Step 5: Solve for x
    x = 342,242.68/761.72
  6. Step 6: Final answer
    x = 449.31

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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.