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Finding the Fourth Proportional to 761.97, 1,143.47 and 299.69

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Solution

The fourth proportional to 761.97, 1,143.47 and 299.69 is: 449.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.97 : 1,143.47 = 299.69 : x
  2. Step 2: Convert to fraction form
    761.97/1,143.47 = 299.69/x
  3. Step 3: Cross multiply
    761.97x = 1,143.47 × 299.69
  4. Step 4: Simplify right side
    761.97x = 342,686.52
  5. Step 5: Solve for x
    x = 342,686.52/761.97
  6. Step 6: Final answer
    x = 449.74

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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.