Home / 1,454.21-2,180.77-723.40

Finding the Fourth Proportional to 1,454.21, 2,180.77 and 723.40

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Solution

The fourth proportional to 1,454.21, 2,180.77 and 723.40 is: 1,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.21 : 2,180.77 = 723.40 : x
  2. Step 2: Convert to fraction form
    1,454.21/2,180.77 = 723.40/x
  3. Step 3: Cross multiply
    1,454.21x = 2,180.77 × 723.40
  4. Step 4: Simplify right side
    1,454.21x = 1,577,569.02
  5. Step 5: Solve for x
    x = 1,577,569.02/1,454.21
  6. Step 6: Final answer
    x = 1,084.83

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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.