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Finding the Fourth Proportional to 481.62, 718.31 and 412.50

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Solution

The fourth proportional to 481.62, 718.31 and 412.50 is: 615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.62 : 718.31 = 412.50 : x
  2. Step 2: Convert to fraction form
    481.62/718.31 = 412.50/x
  3. Step 3: Cross multiply
    481.62x = 718.31 × 412.50
  4. Step 4: Simplify right side
    481.62x = 296,300.81
  5. Step 5: Solve for x
    x = 296,300.81/481.62
  6. Step 6: Final answer
    x = 615.22

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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.