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Finding the Fourth Proportional to 1,203.68, 1,796.81 and 1,113.50

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Solution

The fourth proportional to 1,203.68, 1,796.81 and 1,113.50 is: 1,662.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.68 : 1,796.81 = 1,113.50 : x
  2. Step 2: Convert to fraction form
    1,203.68/1,796.81 = 1,113.50/x
  3. Step 3: Cross multiply
    1,203.68x = 1,796.81 × 1,113.50
  4. Step 4: Simplify right side
    1,203.68x = 2,000,733.38
  5. Step 5: Solve for x
    x = 2,000,733.38/1,203.68
  6. Step 6: Final answer
    x = 1,662.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.