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Finding the Fourth Proportional to 718.20, 1,076.54 and 409.39

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Solution

The fourth proportional to 718.20, 1,076.54 and 409.39 is: 613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.20 : 1,076.54 = 409.39 : x
  2. Step 2: Convert to fraction form
    718.20/1,076.54 = 409.39/x
  3. Step 3: Cross multiply
    718.20x = 1,076.54 × 409.39
  4. Step 4: Simplify right side
    718.20x = 440,721.47
  5. Step 5: Solve for x
    x = 440,721.47/718.20
  6. Step 6: Final answer
    x = 613.65

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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.