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Finding the Fourth Proportional to 1,037.14, 1,429.99 and 722.68

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Solution

The fourth proportional to 1,037.14, 1,429.99 and 722.68 is: 996.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.14 : 1,429.99 = 722.68 : x
  2. Step 2: Convert to fraction form
    1,037.14/1,429.99 = 722.68/x
  3. Step 3: Cross multiply
    1,037.14x = 1,429.99 × 722.68
  4. Step 4: Simplify right side
    1,037.14x = 1,033,425.17
  5. Step 5: Solve for x
    x = 1,033,425.17/1,037.14
  6. Step 6: Final answer
    x = 996.42

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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.