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Finding the Fourth Proportional to 1,299.34, 1,949.81 and 947.29

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Solution

The fourth proportional to 1,299.34, 1,949.81 and 947.29 is: 1,421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.34 : 1,949.81 = 947.29 : x
  2. Step 2: Convert to fraction form
    1,299.34/1,949.81 = 947.29/x
  3. Step 3: Cross multiply
    1,299.34x = 1,949.81 × 947.29
  4. Step 4: Simplify right side
    1,299.34x = 1,847,035.51
  5. Step 5: Solve for x
    x = 1,847,035.51/1,299.34
  6. Step 6: Final answer
    x = 1,421.52

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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.