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Finding the Fourth Proportional to 440.10, 611.28 and 421.74

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Solution

The fourth proportional to 440.10, 611.28 and 421.74 is: 585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.10 : 611.28 = 421.74 : x
  2. Step 2: Convert to fraction form
    440.10/611.28 = 421.74/x
  3. Step 3: Cross multiply
    440.10x = 611.28 × 421.74
  4. Step 4: Simplify right side
    440.10x = 257,801.23
  5. Step 5: Solve for x
    x = 257,801.23/440.10
  6. Step 6: Final answer
    x = 585.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.