Home / 1,059.14-1,588.30-328.48

Finding the Fourth Proportional to 1,059.14, 1,588.30 and 328.48

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Solution

The fourth proportional to 1,059.14, 1,588.30 and 328.48 is: 492.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.14 : 1,588.30 = 328.48 : x
  2. Step 2: Convert to fraction form
    1,059.14/1,588.30 = 328.48/x
  3. Step 3: Cross multiply
    1,059.14x = 1,588.30 × 328.48
  4. Step 4: Simplify right side
    1,059.14x = 521,724.78
  5. Step 5: Solve for x
    x = 521,724.78/1,059.14
  6. Step 6: Final answer
    x = 492.59

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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.