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Finding the Fourth Proportional to 813, 1,122 and 463.80

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Solution

The fourth proportional to 813, 1,122 and 463.80 is: 640.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    813 : 1,122 = 463.80 : x
  2. Step 2: Convert to fraction form
    813/1,122 = 463.80/x
  3. Step 3: Cross multiply
    813x = 1,122 × 463.80
  4. Step 4: Simplify right side
    813x = 520,383.60
  5. Step 5: Solve for x
    x = 520,383.60/813
  6. Step 6: Final answer
    x = 640.08

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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.