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Finding the Fourth Proportional to 813.23, 1,122.42 and 514.28

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Solution

The fourth proportional to 813.23, 1,122.42 and 514.28 is: 709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.23 : 1,122.42 = 514.28 : x
  2. Step 2: Convert to fraction form
    813.23/1,122.42 = 514.28/x
  3. Step 3: Cross multiply
    813.23x = 1,122.42 × 514.28
  4. Step 4: Simplify right side
    813.23x = 577,240.96
  5. Step 5: Solve for x
    x = 577,240.96/813.23
  6. Step 6: Final answer
    x = 709.82

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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.