Home / 1,433.58-2,150.37-459.76

Finding the Fourth Proportional to 1,433.58, 2,150.37 and 459.76

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Solution

The fourth proportional to 1,433.58, 2,150.37 and 459.76 is: 689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.58 : 2,150.37 = 459.76 : x
  2. Step 2: Convert to fraction form
    1,433.58/2,150.37 = 459.76/x
  3. Step 3: Cross multiply
    1,433.58x = 2,150.37 × 459.76
  4. Step 4: Simplify right side
    1,433.58x = 988,654.11
  5. Step 5: Solve for x
    x = 988,654.11/1,433.58
  6. Step 6: Final answer
    x = 689.64

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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.