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Finding the Fourth Proportional to 1,217.55, 1,827.23 and 983.82

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Solution

The fourth proportional to 1,217.55, 1,827.23 and 983.82 is: 1,476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.55 : 1,827.23 = 983.82 : x
  2. Step 2: Convert to fraction form
    1,217.55/1,827.23 = 983.82/x
  3. Step 3: Cross multiply
    1,217.55x = 1,827.23 × 983.82
  4. Step 4: Simplify right side
    1,217.55x = 1,797,665.42
  5. Step 5: Solve for x
    x = 1,797,665.42/1,217.55
  6. Step 6: Final answer
    x = 1,476.46

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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.