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Finding the Fourth Proportional to 1,112.12, 1,665.14 and 803.20

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Solution

The fourth proportional to 1,112.12, 1,665.14 and 803.20 is: 1,202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.12 : 1,665.14 = 803.20 : x
  2. Step 2: Convert to fraction form
    1,112.12/1,665.14 = 803.20/x
  3. Step 3: Cross multiply
    1,112.12x = 1,665.14 × 803.20
  4. Step 4: Simplify right side
    1,112.12x = 1,337,440.45
  5. Step 5: Solve for x
    x = 1,337,440.45/1,112.12
  6. Step 6: Final answer
    x = 1,202.60

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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.