Home / 1,154.79-1,731.57-505.37

Finding the Fourth Proportional to 1,154.79, 1,731.57 and 505.37

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Solution

The fourth proportional to 1,154.79, 1,731.57 and 505.37 is: 757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.79 : 1,731.57 = 505.37 : x
  2. Step 2: Convert to fraction form
    1,154.79/1,731.57 = 505.37/x
  3. Step 3: Cross multiply
    1,154.79x = 1,731.57 × 505.37
  4. Step 4: Simplify right side
    1,154.79x = 875,074.87
  5. Step 5: Solve for x
    x = 875,074.87/1,154.79
  6. Step 6: Final answer
    x = 757.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.