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Finding the Fourth Proportional to 689.09, 1,033.65 and 202.19

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Solution

The fourth proportional to 689.09, 1,033.65 and 202.19 is: 303.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.09 : 1,033.65 = 202.19 : x
  2. Step 2: Convert to fraction form
    689.09/1,033.65 = 202.19/x
  3. Step 3: Cross multiply
    689.09x = 1,033.65 × 202.19
  4. Step 4: Simplify right side
    689.09x = 208,988.53
  5. Step 5: Solve for x
    x = 208,988.53/689.09
  6. Step 6: Final answer
    x = 303.28

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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.