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Finding the Fourth Proportional to 1,180.81, 1,629.57 and 738.67

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Solution

The fourth proportional to 1,180.81, 1,629.57 and 738.67 is: 1,019.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.81 : 1,629.57 = 738.67 : x
  2. Step 2: Convert to fraction form
    1,180.81/1,629.57 = 738.67/x
  3. Step 3: Cross multiply
    1,180.81x = 1,629.57 × 738.67
  4. Step 4: Simplify right side
    1,180.81x = 1,203,714.47
  5. Step 5: Solve for x
    x = 1,203,714.47/1,180.81
  6. Step 6: Final answer
    x = 1,019.40

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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.