Home / 1,433.37-2,150.51-459.47

Finding the Fourth Proportional to 1,433.37, 2,150.51 and 459.47

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Solution

The fourth proportional to 1,433.37, 2,150.51 and 459.47 is: 689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.37 : 2,150.51 = 459.47 : x
  2. Step 2: Convert to fraction form
    1,433.37/2,150.51 = 459.47/x
  3. Step 3: Cross multiply
    1,433.37x = 2,150.51 × 459.47
  4. Step 4: Simplify right side
    1,433.37x = 988,094.83
  5. Step 5: Solve for x
    x = 988,094.83/1,433.37
  6. Step 6: Final answer
    x = 689.35

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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.