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Finding the Fourth Proportional to 817.70, 1,225.20 and 696.20

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Solution

The fourth proportional to 817.70, 1,225.20 and 696.20 is: 1,043.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.70 : 1,225.20 = 696.20 : x
  2. Step 2: Convert to fraction form
    817.70/1,225.20 = 696.20/x
  3. Step 3: Cross multiply
    817.70x = 1,225.20 × 696.20
  4. Step 4: Simplify right side
    817.70x = 852,984.24
  5. Step 5: Solve for x
    x = 852,984.24/817.70
  6. Step 6: Final answer
    x = 1,043.15

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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.