Home / 1,433.12-2,149.56-407.12

Finding the Fourth Proportional to 1,433.12, 2,149.56 and 407.12

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Solution

The fourth proportional to 1,433.12, 2,149.56 and 407.12 is: 610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.12 : 2,149.56 = 407.12 : x
  2. Step 2: Convert to fraction form
    1,433.12/2,149.56 = 407.12/x
  3. Step 3: Cross multiply
    1,433.12x = 2,149.56 × 407.12
  4. Step 4: Simplify right side
    1,433.12x = 875,128.87
  5. Step 5: Solve for x
    x = 875,128.87/1,433.12
  6. Step 6: Final answer
    x = 610.65

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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.