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Finding the Fourth Proportional to 1,180.18, 1,628.57 and 656.21

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Solution

The fourth proportional to 1,180.18, 1,628.57 and 656.21 is: 905.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.18 : 1,628.57 = 656.21 : x
  2. Step 2: Convert to fraction form
    1,180.18/1,628.57 = 656.21/x
  3. Step 3: Cross multiply
    1,180.18x = 1,628.57 × 656.21
  4. Step 4: Simplify right side
    1,180.18x = 1,068,684.71
  5. Step 5: Solve for x
    x = 1,068,684.71/1,180.18
  6. Step 6: Final answer
    x = 905.53

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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.