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Finding the Fourth Proportional to 446.08, 666.20 and 435.12

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Solution

The fourth proportional to 446.08, 666.20 and 435.12 is: 649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.08 : 666.20 = 435.12 : x
  2. Step 2: Convert to fraction form
    446.08/666.20 = 435.12/x
  3. Step 3: Cross multiply
    446.08x = 666.20 × 435.12
  4. Step 4: Simplify right side
    446.08x = 289,876.94
  5. Step 5: Solve for x
    x = 289,876.94/446.08
  6. Step 6: Final answer
    x = 649.83

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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.