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Finding the Fourth Proportional to 1,205.19, 1,805.70 and 657.75

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Solution

The fourth proportional to 1,205.19, 1,805.70 and 657.75 is: 985.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.19 : 1,805.70 = 657.75 : x
  2. Step 2: Convert to fraction form
    1,205.19/1,805.70 = 657.75/x
  3. Step 3: Cross multiply
    1,205.19x = 1,805.70 × 657.75
  4. Step 4: Simplify right side
    1,205.19x = 1,187,708.41
  5. Step 5: Solve for x
    x = 1,187,708.41/1,205.19
  6. Step 6: Final answer
    x = 985.49

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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.