Home / 1,433.38-2,150.16-407.38

Finding the Fourth Proportional to 1,433.38, 2,150.16 and 407.38

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Solution

The fourth proportional to 1,433.38, 2,150.16 and 407.38 is: 611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.38 : 2,150.16 = 407.38 : x
  2. Step 2: Convert to fraction form
    1,433.38/2,150.16 = 407.38/x
  3. Step 3: Cross multiply
    1,433.38x = 2,150.16 × 407.38
  4. Step 4: Simplify right side
    1,433.38x = 875,932.18
  5. Step 5: Solve for x
    x = 875,932.18/1,433.38
  6. Step 6: Final answer
    x = 611.10

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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.