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Finding the Fourth Proportional to 1,653.88, 2,480.81 and 627.88

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Solution

The fourth proportional to 1,653.88, 2,480.81 and 627.88 is: 941.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.88 : 2,480.81 = 627.88 : x
  2. Step 2: Convert to fraction form
    1,653.88/2,480.81 = 627.88/x
  3. Step 3: Cross multiply
    1,653.88x = 2,480.81 × 627.88
  4. Step 4: Simplify right side
    1,653.88x = 1,557,650.98
  5. Step 5: Solve for x
    x = 1,557,650.98/1,653.88
  6. Step 6: Final answer
    x = 941.82

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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.