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Finding the Fourth Proportional to 480.40, 717.56 and 412.12

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Solution

The fourth proportional to 480.40, 717.56 and 412.12 is: 615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.40 : 717.56 = 412.12 : x
  2. Step 2: Convert to fraction form
    480.40/717.56 = 412.12/x
  3. Step 3: Cross multiply
    480.40x = 717.56 × 412.12
  4. Step 4: Simplify right side
    480.40x = 295,720.83
  5. Step 5: Solve for x
    x = 295,720.83/480.40
  6. Step 6: Final answer
    x = 615.57

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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.