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Finding the Fourth Proportional to 813.25, 1,122.35 and 464.01

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Solution

The fourth proportional to 813.25, 1,122.35 and 464.01 is: 640.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.25 : 1,122.35 = 464.01 : x
  2. Step 2: Convert to fraction form
    813.25/1,122.35 = 464.01/x
  3. Step 3: Cross multiply
    813.25x = 1,122.35 × 464.01
  4. Step 4: Simplify right side
    813.25x = 520,781.62
  5. Step 5: Solve for x
    x = 520,781.62/813.25
  6. Step 6: Final answer
    x = 640.37

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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.