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Finding the Fourth Proportional to 1,059.37, 1,589.29 and 328.95

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Solution

The fourth proportional to 1,059.37, 1,589.29 and 328.95 is: 493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.37 : 1,589.29 = 328.95 : x
  2. Step 2: Convert to fraction form
    1,059.37/1,589.29 = 328.95/x
  3. Step 3: Cross multiply
    1,059.37x = 1,589.29 × 328.95
  4. Step 4: Simplify right side
    1,059.37x = 522,796.12
  5. Step 5: Solve for x
    x = 522,796.12/1,059.37
  6. Step 6: Final answer
    x = 493.50

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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.