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Finding the Fourth Proportional to 1,154.50, 1,730.19 and 633.73

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Solution

The fourth proportional to 1,154.50, 1,730.19 and 633.73 is: 949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.50 : 1,730.19 = 633.73 : x
  2. Step 2: Convert to fraction form
    1,154.50/1,730.19 = 633.73/x
  3. Step 3: Cross multiply
    1,154.50x = 1,730.19 × 633.73
  4. Step 4: Simplify right side
    1,154.50x = 1,096,473.31
  5. Step 5: Solve for x
    x = 1,096,473.31/1,154.50
  6. Step 6: Final answer
    x = 949.74

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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.