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Finding the Fourth Proportional to 1,180.38, 1,629.02 and 656.45

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Solution

The fourth proportional to 1,180.38, 1,629.02 and 656.45 is: 905.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.38 : 1,629.02 = 656.45 : x
  2. Step 2: Convert to fraction form
    1,180.38/1,629.02 = 656.45/x
  3. Step 3: Cross multiply
    1,180.38x = 1,629.02 × 656.45
  4. Step 4: Simplify right side
    1,180.38x = 1,069,358.75
  5. Step 5: Solve for x
    x = 1,069,358.75/1,180.38
  6. Step 6: Final answer
    x = 905.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.