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Finding the Fourth Proportional to 1,454.88, 2,182.53 and 480.77

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Solution

The fourth proportional to 1,454.88, 2,182.53 and 480.77 is: 721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.88 : 2,182.53 = 480.77 : x
  2. Step 2: Convert to fraction form
    1,454.88/2,182.53 = 480.77/x
  3. Step 3: Cross multiply
    1,454.88x = 2,182.53 × 480.77
  4. Step 4: Simplify right side
    1,454.88x = 1,049,284.04
  5. Step 5: Solve for x
    x = 1,049,284.04/1,454.88
  6. Step 6: Final answer
    x = 721.22

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1.5x scale

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.