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Finding the Fourth Proportional to 828.90, 1,235.28 and 803.87

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Solution

The fourth proportional to 828.90, 1,235.28 and 803.87 is: 1,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.90 : 1,235.28 = 803.87 : x
  2. Step 2: Convert to fraction form
    828.90/1,235.28 = 803.87/x
  3. Step 3: Cross multiply
    828.90x = 1,235.28 × 803.87
  4. Step 4: Simplify right side
    828.90x = 993,004.53
  5. Step 5: Solve for x
    x = 993,004.53/828.90
  6. Step 6: Final answer
    x = 1,197.98

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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.