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Finding the Fourth Proportional to 811.02, 1,217.58 and 696.21

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Solution

The fourth proportional to 811.02, 1,217.58 and 696.21 is: 1,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.02 : 1,217.58 = 696.21 : x
  2. Step 2: Convert to fraction form
    811.02/1,217.58 = 696.21/x
  3. Step 3: Cross multiply
    811.02x = 1,217.58 × 696.21
  4. Step 4: Simplify right side
    811.02x = 847,691.37
  5. Step 5: Solve for x
    x = 847,691.37/811.02
  6. Step 6: Final answer
    x = 1,045.22

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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.