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Finding the Fourth Proportional to 701.82, 1,052.93 and 290.75

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Solution

The fourth proportional to 701.82, 1,052.93 and 290.75 is: 436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.82 : 1,052.93 = 290.75 : x
  2. Step 2: Convert to fraction form
    701.82/1,052.93 = 290.75/x
  3. Step 3: Cross multiply
    701.82x = 1,052.93 × 290.75
  4. Step 4: Simplify right side
    701.82x = 306,134.86
  5. Step 5: Solve for x
    x = 306,134.86/701.82
  6. Step 6: Final answer
    x = 436.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.