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Finding the Fourth Proportional to 1,190.90, 1,643.58 and 792.54

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Solution

The fourth proportional to 1,190.90, 1,643.58 and 792.54 is: 1,093.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.90 : 1,643.58 = 792.54 : x
  2. Step 2: Convert to fraction form
    1,190.90/1,643.58 = 792.54/x
  3. Step 3: Cross multiply
    1,190.90x = 1,643.58 × 792.54
  4. Step 4: Simplify right side
    1,190.90x = 1,302,602.89
  5. Step 5: Solve for x
    x = 1,302,602.89/1,190.90
  6. Step 6: Final answer
    x = 1,093.79

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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.