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Finding the Fourth Proportional to 480.38, 717.05 and 412.34

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Solution

The fourth proportional to 480.38, 717.05 and 412.34 is: 615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.38 : 717.05 = 412.34 : x
  2. Step 2: Convert to fraction form
    480.38/717.05 = 412.34/x
  3. Step 3: Cross multiply
    480.38x = 717.05 × 412.34
  4. Step 4: Simplify right side
    480.38x = 295,665.84
  5. Step 5: Solve for x
    x = 295,665.84/480.38
  6. Step 6: Final answer
    x = 615.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.