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Finding the Fourth Proportional to 1,653.50, 2,480.31 and 557.97

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Solution

The fourth proportional to 1,653.50, 2,480.31 and 557.97 is: 836.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.50 : 2,480.31 = 557.97 : x
  2. Step 2: Convert to fraction form
    1,653.50/2,480.31 = 557.97/x
  3. Step 3: Cross multiply
    1,653.50x = 2,480.31 × 557.97
  4. Step 4: Simplify right side
    1,653.50x = 1,383,938.57
  5. Step 5: Solve for x
    x = 1,383,938.57/1,653.50
  6. Step 6: Final answer
    x = 836.98

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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.