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Finding the Fourth Proportional to 813.19, 1,216.95 and 665.23

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Solution

The fourth proportional to 813.19, 1,216.95 and 665.23 is: 995.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.19 : 1,216.95 = 665.23 : x
  2. Step 2: Convert to fraction form
    813.19/1,216.95 = 665.23/x
  3. Step 3: Cross multiply
    813.19x = 1,216.95 × 665.23
  4. Step 4: Simplify right side
    813.19x = 809,554.42
  5. Step 5: Solve for x
    x = 809,554.42/813.19
  6. Step 6: Final answer
    x = 995.53

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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.