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Finding the Fourth Proportional to 1,661.46, 2,491.36 and 930.84

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Solution

The fourth proportional to 1,661.46, 2,491.36 and 930.84 is: 1,395.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.46 : 2,491.36 = 930.84 : x
  2. Step 2: Convert to fraction form
    1,661.46/2,491.36 = 930.84/x
  3. Step 3: Cross multiply
    1,661.46x = 2,491.36 × 930.84
  4. Step 4: Simplify right side
    1,661.46x = 2,319,057.54
  5. Step 5: Solve for x
    x = 2,319,057.54/1,661.46
  6. Step 6: Final answer
    x = 1,395.79

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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.