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Finding the Fourth Proportional to 606.72, 832.80 and 537.60

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Solution

The fourth proportional to 606.72, 832.80 and 537.60 is: 737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.72 : 832.80 = 537.60 : x
  2. Step 2: Convert to fraction form
    606.72/832.80 = 537.60/x
  3. Step 3: Cross multiply
    606.72x = 832.80 × 537.60
  4. Step 4: Simplify right side
    606.72x = 447,713.28
  5. Step 5: Solve for x
    x = 447,713.28/606.72
  6. Step 6: Final answer
    x = 737.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.