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Finding the Fourth Proportional to 813.62, 1,219.98 and 258.23

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Solution

The fourth proportional to 813.62, 1,219.98 and 258.23 is: 387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.62 : 1,219.98 = 258.23 : x
  2. Step 2: Convert to fraction form
    813.62/1,219.98 = 258.23/x
  3. Step 3: Cross multiply
    813.62x = 1,219.98 × 258.23
  4. Step 4: Simplify right side
    813.62x = 315,029.34
  5. Step 5: Solve for x
    x = 315,029.34/813.62
  6. Step 6: Final answer
    x = 387.20

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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.