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Finding the Fourth Proportional to 440.23, 659.53 and 420.25

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Solution

The fourth proportional to 440.23, 659.53 and 420.25 is: 629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.23 : 659.53 = 420.25 : x
  2. Step 2: Convert to fraction form
    440.23/659.53 = 420.25/x
  3. Step 3: Cross multiply
    440.23x = 659.53 × 420.25
  4. Step 4: Simplify right side
    440.23x = 277,167.48
  5. Step 5: Solve for x
    x = 277,167.48/440.23
  6. Step 6: Final answer
    x = 629.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.