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Finding the Fourth Proportional to 813.62, 1,219.62 and 448.04

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Solution

The fourth proportional to 813.62, 1,219.62 and 448.04 is: 671.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.62 : 1,219.62 = 448.04 : x
  2. Step 2: Convert to fraction form
    813.62/1,219.62 = 448.04/x
  3. Step 3: Cross multiply
    813.62x = 1,219.62 × 448.04
  4. Step 4: Simplify right side
    813.62x = 546,438.54
  5. Step 5: Solve for x
    x = 546,438.54/813.62
  6. Step 6: Final answer
    x = 671.61

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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.