Home / 1,433.42-2,150.14-459.58

Finding the Fourth Proportional to 1,433.42, 2,150.14 and 459.58

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Solution

The fourth proportional to 1,433.42, 2,150.14 and 459.58 is: 689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.42 : 2,150.14 = 459.58 : x
  2. Step 2: Convert to fraction form
    1,433.42/2,150.14 = 459.58/x
  3. Step 3: Cross multiply
    1,433.42x = 2,150.14 × 459.58
  4. Step 4: Simplify right side
    1,433.42x = 988,161.34
  5. Step 5: Solve for x
    x = 988,161.34/1,433.42
  6. Step 6: Final answer
    x = 689.37

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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.