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Finding the Fourth Proportional to 813.68, 1,122.72 and 464.24

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Solution

The fourth proportional to 813.68, 1,122.72 and 464.24 is: 640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.68 : 1,122.72 = 464.24 : x
  2. Step 2: Convert to fraction form
    813.68/1,122.72 = 464.24/x
  3. Step 3: Cross multiply
    813.68x = 1,122.72 × 464.24
  4. Step 4: Simplify right side
    813.68x = 521,211.53
  5. Step 5: Solve for x
    x = 521,211.53/813.68
  6. Step 6: Final answer
    x = 640.56

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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.