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Finding the Fourth Proportional to 1,318.71, 1,819.81 and 729.25

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Solution

The fourth proportional to 1,318.71, 1,819.81 and 729.25 is: 1,006.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.71 : 1,819.81 = 729.25 : x
  2. Step 2: Convert to fraction form
    1,318.71/1,819.81 = 729.25/x
  3. Step 3: Cross multiply
    1,318.71x = 1,819.81 × 729.25
  4. Step 4: Simplify right side
    1,318.71x = 1,327,090.07
  5. Step 5: Solve for x
    x = 1,327,090.07/1,318.71
  6. Step 6: Final answer
    x = 1,006.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.