Home / 1,158.30-1,738.26-428.49

Finding the Fourth Proportional to 1,158.30, 1,738.26 and 428.49

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Solution

The fourth proportional to 1,158.30, 1,738.26 and 428.49 is: 643.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.30 : 1,738.26 = 428.49 : x
  2. Step 2: Convert to fraction form
    1,158.30/1,738.26 = 428.49/x
  3. Step 3: Cross multiply
    1,158.30x = 1,738.26 × 428.49
  4. Step 4: Simplify right side
    1,158.30x = 744,827.03
  5. Step 5: Solve for x
    x = 744,827.03/1,158.30
  6. Step 6: Final answer
    x = 643.03

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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.