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Finding the Fourth Proportional to 471.05, 649.08 and 446.34

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Solution

The fourth proportional to 471.05, 649.08 and 446.34 is: 615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.05 : 649.08 = 446.34 : x
  2. Step 2: Convert to fraction form
    471.05/649.08 = 446.34/x
  3. Step 3: Cross multiply
    471.05x = 649.08 × 446.34
  4. Step 4: Simplify right side
    471.05x = 289,710.37
  5. Step 5: Solve for x
    x = 289,710.37/471.05
  6. Step 6: Final answer
    x = 615.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.