Home / 1,150.14-1,725.37-420.06

Finding the Fourth Proportional to 1,150.14, 1,725.37 and 420.06

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Solution

The fourth proportional to 1,150.14, 1,725.37 and 420.06 is: 630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.14 : 1,725.37 = 420.06 : x
  2. Step 2: Convert to fraction form
    1,150.14/1,725.37 = 420.06/x
  3. Step 3: Cross multiply
    1,150.14x = 1,725.37 × 420.06
  4. Step 4: Simplify right side
    1,150.14x = 724,758.92
  5. Step 5: Solve for x
    x = 724,758.92/1,150.14
  6. Step 6: Final answer
    x = 630.15

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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.