Home / 1,037.09-1,429.68-741.85

Finding the Fourth Proportional to 1,037.09, 1,429.68 and 741.85

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Solution

The fourth proportional to 1,037.09, 1,429.68 and 741.85 is: 1,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.09 : 1,429.68 = 741.85 : x
  2. Step 2: Convert to fraction form
    1,037.09/1,429.68 = 741.85/x
  3. Step 3: Cross multiply
    1,037.09x = 1,429.68 × 741.85
  4. Step 4: Simplify right side
    1,037.09x = 1,060,607.32
  5. Step 5: Solve for x
    x = 1,060,607.32/1,037.09
  6. Step 6: Final answer
    x = 1,022.67

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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.