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Finding the Fourth Proportional to 1,180.17, 1,628.64 and 738.32

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Solution

The fourth proportional to 1,180.17, 1,628.64 and 738.32 is: 1,018.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.17 : 1,628.64 = 738.32 : x
  2. Step 2: Convert to fraction form
    1,180.17/1,628.64 = 738.32/x
  3. Step 3: Cross multiply
    1,180.17x = 1,628.64 × 738.32
  4. Step 4: Simplify right side
    1,180.17x = 1,202,449.34
  5. Step 5: Solve for x
    x = 1,202,449.34/1,180.17
  6. Step 6: Final answer
    x = 1,018.88

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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.