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Finding the Fourth Proportional to 680.32, 1,020.35 and 333.51

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Solution

The fourth proportional to 680.32, 1,020.35 and 333.51 is: 500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.32 : 1,020.35 = 333.51 : x
  2. Step 2: Convert to fraction form
    680.32/1,020.35 = 333.51/x
  3. Step 3: Cross multiply
    680.32x = 1,020.35 × 333.51
  4. Step 4: Simplify right side
    680.32x = 340,291.43
  5. Step 5: Solve for x
    x = 340,291.43/680.32
  6. Step 6: Final answer
    x = 500.19

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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.