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Finding the Fourth Proportional to 1,101.90, 1,520.46 and 806.25

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Solution

The fourth proportional to 1,101.90, 1,520.46 and 806.25 is: 1,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.90 : 1,520.46 = 806.25 : x
  2. Step 2: Convert to fraction form
    1,101.90/1,520.46 = 806.25/x
  3. Step 3: Cross multiply
    1,101.90x = 1,520.46 × 806.25
  4. Step 4: Simplify right side
    1,101.90x = 1,225,870.88
  5. Step 5: Solve for x
    x = 1,225,870.88/1,101.90
  6. Step 6: Final answer
    x = 1,112.51

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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.