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Finding the Fourth Proportional to 606.72, 837 and 459.12

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Solution

The fourth proportional to 606.72, 837 and 459.12 is: 633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.72 : 837 = 459.12 : x
  2. Step 2: Convert to fraction form
    606.72/837 = 459.12/x
  3. Step 3: Cross multiply
    606.72x = 837 × 459.12
  4. Step 4: Simplify right side
    606.72x = 384,283.44
  5. Step 5: Solve for x
    x = 384,283.44/606.72
  6. Step 6: Final answer
    x = 633.38

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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.