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Finding the Fourth Proportional to 1,617.95, 2,233.68 and 1,059

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Solution

The fourth proportional to 1,617.95, 2,233.68 and 1,059 is: 1,462.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.95 : 2,233.68 = 1,059 : x
  2. Step 2: Convert to fraction form
    1,617.95/2,233.68 = 1,059/x
  3. Step 3: Cross multiply
    1,617.95x = 2,233.68 × 1,059
  4. Step 4: Simplify right side
    1,617.95x = 2,365,467.12
  5. Step 5: Solve for x
    x = 2,365,467.12/1,617.95
  6. Step 6: Final answer
    x = 1,462.01

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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.