Home / 1,433.50-2,150.04-459.47

Finding the Fourth Proportional to 1,433.50, 2,150.04 and 459.47

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Solution

The fourth proportional to 1,433.50, 2,150.04 and 459.47 is: 689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.50 : 2,150.04 = 459.47 : x
  2. Step 2: Convert to fraction form
    1,433.50/2,150.04 = 459.47/x
  3. Step 3: Cross multiply
    1,433.50x = 2,150.04 × 459.47
  4. Step 4: Simplify right side
    1,433.50x = 987,885.98
  5. Step 5: Solve for x
    x = 987,885.98/1,433.50
  6. Step 6: Final answer
    x = 689.14

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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.