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Finding the Fourth Proportional to 2,855, 4,283.22 and 803

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Solution

The fourth proportional to 2,855, 4,283.22 and 803 is: 1,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855 : 4,283.22 = 803 : x
  2. Step 2: Convert to fraction form
    2,855/4,283.22 = 803/x
  3. Step 3: Cross multiply
    2,855x = 4,283.22 × 803
  4. Step 4: Simplify right side
    2,855x = 3,439,425.66
  5. Step 5: Solve for x
    x = 3,439,425.66/2,855
  6. Step 6: Final answer
    x = 1,204.70

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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.