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Finding the Fourth Proportional to 440.55, 656.96 and 405.09

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Solution

The fourth proportional to 440.55, 656.96 and 405.09 is: 604.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.55 : 656.96 = 405.09 : x
  2. Step 2: Convert to fraction form
    440.55/656.96 = 405.09/x
  3. Step 3: Cross multiply
    440.55x = 656.96 × 405.09
  4. Step 4: Simplify right side
    440.55x = 266,125.90
  5. Step 5: Solve for x
    x = 266,125.90/440.55
  6. Step 6: Final answer
    x = 604.08

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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.