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Finding the Fourth Proportional to 813.14, 1,121.95 and 459

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Solution

The fourth proportional to 813.14, 1,121.95 and 459 is: 633.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.14 : 1,121.95 = 459 : x
  2. Step 2: Convert to fraction form
    813.14/1,121.95 = 459/x
  3. Step 3: Cross multiply
    813.14x = 1,121.95 × 459
  4. Step 4: Simplify right side
    813.14x = 514,975.62
  5. Step 5: Solve for x
    x = 514,975.62/813.14
  6. Step 6: Final answer
    x = 633.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.