Home / 1,157.04-1,589.94-923.76

Finding the Fourth Proportional to 1,157.04, 1,589.94 and 923.76

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Solution

The fourth proportional to 1,157.04, 1,589.94 and 923.76 is: 1,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.04 : 1,589.94 = 923.76 : x
  2. Step 2: Convert to fraction form
    1,157.04/1,589.94 = 923.76/x
  3. Step 3: Cross multiply
    1,157.04x = 1,589.94 × 923.76
  4. Step 4: Simplify right side
    1,157.04x = 1,468,722.97
  5. Step 5: Solve for x
    x = 1,468,722.97/1,157.04
  6. Step 6: Final answer
    x = 1,269.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.