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Finding the Fourth Proportional to 817.10, 1,217.00 and 813.12

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Solution

The fourth proportional to 817.10, 1,217.00 and 813.12 is: 1,211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.10 : 1,217.00 = 813.12 : x
  2. Step 2: Convert to fraction form
    817.10/1,217.00 = 813.12/x
  3. Step 3: Cross multiply
    817.10x = 1,217.00 × 813.12
  4. Step 4: Simplify right side
    817.10x = 989,570.60
  5. Step 5: Solve for x
    x = 989,570.60/817.10
  6. Step 6: Final answer
    x = 1,211.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.