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Finding the Fourth Proportional to 813.05, 1,219.51 and 292.96

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Solution

The fourth proportional to 813.05, 1,219.51 and 292.96 is: 439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.05 : 1,219.51 = 292.96 : x
  2. Step 2: Convert to fraction form
    813.05/1,219.51 = 292.96/x
  3. Step 3: Cross multiply
    813.05x = 1,219.51 × 292.96
  4. Step 4: Simplify right side
    813.05x = 357,261.55
  5. Step 5: Solve for x
    x = 357,261.55/813.05
  6. Step 6: Final answer
    x = 439.41

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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.