Home / 1,160.94-1,742.09-431.03

Finding the Fourth Proportional to 1,160.94, 1,742.09 and 431.03

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Solution

The fourth proportional to 1,160.94, 1,742.09 and 431.03 is: 646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.94 : 1,742.09 = 431.03 : x
  2. Step 2: Convert to fraction form
    1,160.94/1,742.09 = 431.03/x
  3. Step 3: Cross multiply
    1,160.94x = 1,742.09 × 431.03
  4. Step 4: Simplify right side
    1,160.94x = 750,885.42
  5. Step 5: Solve for x
    x = 750,885.42/1,160.94
  6. Step 6: Final answer
    x = 646.79

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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.