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Finding the Fourth Proportional to 680.04, 1,020.96 and 432.54

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Solution

The fourth proportional to 680.04, 1,020.96 and 432.54 is: 649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.04 : 1,020.96 = 432.54 : x
  2. Step 2: Convert to fraction form
    680.04/1,020.96 = 432.54/x
  3. Step 3: Cross multiply
    680.04x = 1,020.96 × 432.54
  4. Step 4: Simplify right side
    680.04x = 441,606.04
  5. Step 5: Solve for x
    x = 441,606.04/680.04
  6. Step 6: Final answer
    x = 649.38

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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.