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Finding the Fourth Proportional to 813.64, 1,219.14 and 488.20

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Solution

The fourth proportional to 813.64, 1,219.14 and 488.20 is: 731.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.64 : 1,219.14 = 488.20 : x
  2. Step 2: Convert to fraction form
    813.64/1,219.14 = 488.20/x
  3. Step 3: Cross multiply
    813.64x = 1,219.14 × 488.20
  4. Step 4: Simplify right side
    813.64x = 595,184.15
  5. Step 5: Solve for x
    x = 595,184.15/813.64
  6. Step 6: Final answer
    x = 731.51

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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.