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Finding the Fourth Proportional to 813.40, 1,122 and 600.50

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Solution

The fourth proportional to 813.40, 1,122 and 600.50 is: 828.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.40 : 1,122 = 600.50 : x
  2. Step 2: Convert to fraction form
    813.40/1,122 = 600.50/x
  3. Step 3: Cross multiply
    813.40x = 1,122 × 600.50
  4. Step 4: Simplify right side
    813.40x = 673,763.81
  5. Step 5: Solve for x
    x = 673,763.81/813.40
  6. Step 6: Final answer
    x = 828.33

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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.