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Finding the Fourth Proportional to 817.86, 1,219.46 and 803.28

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Solution

The fourth proportional to 817.86, 1,219.46 and 803.28 is: 1,197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.86 : 1,219.46 = 803.28 : x
  2. Step 2: Convert to fraction form
    817.86/1,219.46 = 803.28/x
  3. Step 3: Cross multiply
    817.86x = 1,219.46 × 803.28
  4. Step 4: Simplify right side
    817.86x = 979,567.83
  5. Step 5: Solve for x
    x = 979,567.83/817.86
  6. Step 6: Final answer
    x = 1,197.72

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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.