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Finding the Fourth Proportional to 1,180.90, 1,629.38 and 715.14

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Solution

The fourth proportional to 1,180.90, 1,629.38 and 715.14 is: 986.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.90 : 1,629.38 = 715.14 : x
  2. Step 2: Convert to fraction form
    1,180.90/1,629.38 = 715.14/x
  3. Step 3: Cross multiply
    1,180.90x = 1,629.38 × 715.14
  4. Step 4: Simplify right side
    1,180.90x = 1,165,234.81
  5. Step 5: Solve for x
    x = 1,165,234.81/1,180.90
  6. Step 6: Final answer
    x = 986.73

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Half scale
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Double scale
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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.