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Finding the Fourth Proportional to 820.08, 1,228.32 and 455.28

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Solution

The fourth proportional to 820.08, 1,228.32 and 455.28 is: 681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.08 : 1,228.32 = 455.28 : x
  2. Step 2: Convert to fraction form
    820.08/1,228.32 = 455.28/x
  3. Step 3: Cross multiply
    820.08x = 1,228.32 × 455.28
  4. Step 4: Simplify right side
    820.08x = 559,229.53
  5. Step 5: Solve for x
    x = 559,229.53/820.08
  6. Step 6: Final answer
    x = 681.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.