Home / 1,433.49-2,150.24-459.67

Finding the Fourth Proportional to 1,433.49, 2,150.24 and 459.67

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Solution

The fourth proportional to 1,433.49, 2,150.24 and 459.67 is: 689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.49 : 2,150.24 = 459.67 : x
  2. Step 2: Convert to fraction form
    1,433.49/2,150.24 = 459.67/x
  3. Step 3: Cross multiply
    1,433.49x = 2,150.24 × 459.67
  4. Step 4: Simplify right side
    1,433.49x = 988,393.15
  5. Step 5: Solve for x
    x = 988,393.15/1,433.49
  6. Step 6: Final answer
    x = 689.50

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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.