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Finding the Fourth Proportional to 813.28, 1,122.28 and 459.22

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Solution

The fourth proportional to 813.28, 1,122.28 and 459.22 is: 633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.28 : 1,122.28 = 459.22 : x
  2. Step 2: Convert to fraction form
    813.28/1,122.28 = 459.22/x
  3. Step 3: Cross multiply
    813.28x = 1,122.28 × 459.22
  4. Step 4: Simplify right side
    813.28x = 515,373.42
  5. Step 5: Solve for x
    x = 515,373.42/813.28
  6. Step 6: Final answer
    x = 633.70

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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.