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Finding the Fourth Proportional to 761.61, 1,143.06 and 299.71

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Solution

The fourth proportional to 761.61, 1,143.06 and 299.71 is: 449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.61 : 1,143.06 = 299.71 : x
  2. Step 2: Convert to fraction form
    761.61/1,143.06 = 299.71/x
  3. Step 3: Cross multiply
    761.61x = 1,143.06 × 299.71
  4. Step 4: Simplify right side
    761.61x = 342,583.65
  5. Step 5: Solve for x
    x = 342,583.65/761.61
  6. Step 6: Final answer
    x = 449.82

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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.