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Finding the Fourth Proportional to 1,217.95, 1,827.56 and 663.05

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Solution

The fourth proportional to 1,217.95, 1,827.56 and 663.05 is: 994.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.95 : 1,827.56 = 663.05 : x
  2. Step 2: Convert to fraction form
    1,217.95/1,827.56 = 663.05/x
  3. Step 3: Cross multiply
    1,217.95x = 1,827.56 × 663.05
  4. Step 4: Simplify right side
    1,217.95x = 1,211,769.88
  5. Step 5: Solve for x
    x = 1,211,769.88/1,217.95
  6. Step 6: Final answer
    x = 994.92

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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.