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Finding the Fourth Proportional to 1,339.50, 2,009.11 and 352.42

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Solution

The fourth proportional to 1,339.50, 2,009.11 and 352.42 is: 528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.50 : 2,009.11 = 352.42 : x
  2. Step 2: Convert to fraction form
    1,339.50/2,009.11 = 352.42/x
  3. Step 3: Cross multiply
    1,339.50x = 2,009.11 × 352.42
  4. Step 4: Simplify right side
    1,339.50x = 708,046.29
  5. Step 5: Solve for x
    x = 708,046.29/1,339.50
  6. Step 6: Final answer
    x = 528.59

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1.5x scale

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.