Home / 1,158.62-1,738.61-428.71

Finding the Fourth Proportional to 1,158.62, 1,738.61 and 428.71

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Solution

The fourth proportional to 1,158.62, 1,738.61 and 428.71 is: 643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.62 : 1,738.61 = 428.71 : x
  2. Step 2: Convert to fraction form
    1,158.62/1,738.61 = 428.71/x
  3. Step 3: Cross multiply
    1,158.62x = 1,738.61 × 428.71
  4. Step 4: Simplify right side
    1,158.62x = 745,350.80
  5. Step 5: Solve for x
    x = 745,350.80/1,158.62
  6. Step 6: Final answer
    x = 643.31

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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.