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Finding the Fourth Proportional to 820.46, 1,228.41 and 702.23

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Solution

The fourth proportional to 820.46, 1,228.41 and 702.23 is: 1,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.46 : 1,228.41 = 702.23 : x
  2. Step 2: Convert to fraction form
    820.46/1,228.41 = 702.23/x
  3. Step 3: Cross multiply
    820.46x = 1,228.41 × 702.23
  4. Step 4: Simplify right side
    820.46x = 862,629.43
  5. Step 5: Solve for x
    x = 862,629.43/820.46
  6. Step 6: Final answer
    x = 1,051.39

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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.