Home / 1,158.81-1,738.38-428.32

Finding the Fourth Proportional to 1,158.81, 1,738.38 and 428.32

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Solution

The fourth proportional to 1,158.81, 1,738.38 and 428.32 is: 642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.81 : 1,738.38 = 428.32 : x
  2. Step 2: Convert to fraction form
    1,158.81/1,738.38 = 428.32/x
  3. Step 3: Cross multiply
    1,158.81x = 1,738.38 × 428.32
  4. Step 4: Simplify right side
    1,158.81x = 744,582.92
  5. Step 5: Solve for x
    x = 744,582.92/1,158.81
  6. Step 6: Final answer
    x = 642.54

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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.