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Finding the Fourth Proportional to 813.77, 1,220.54 and 423.55

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Solution

The fourth proportional to 813.77, 1,220.54 and 423.55 is: 635.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.77 : 1,220.54 = 423.55 : x
  2. Step 2: Convert to fraction form
    813.77/1,220.54 = 423.55/x
  3. Step 3: Cross multiply
    813.77x = 1,220.54 × 423.55
  4. Step 4: Simplify right side
    813.77x = 516,954.55
  5. Step 5: Solve for x
    x = 516,954.55/813.77
  6. Step 6: Final answer
    x = 635.26

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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.