Home / 1,033.23-1,542.01-923.79

Finding the Fourth Proportional to 1,033.23, 1,542.01 and 923.79

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Solution

The fourth proportional to 1,033.23, 1,542.01 and 923.79 is: 1,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.23 : 1,542.01 = 923.79 : x
  2. Step 2: Convert to fraction form
    1,033.23/1,542.01 = 923.79/x
  3. Step 3: Cross multiply
    1,033.23x = 1,542.01 × 923.79
  4. Step 4: Simplify right side
    1,033.23x = 1,424,491.11
  5. Step 5: Solve for x
    x = 1,424,491.11/1,033.23
  6. Step 6: Final answer
    x = 1,378.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.