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Finding the Fourth Proportional to 440.76, 606.50 and 427.40

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Solution

The fourth proportional to 440.76, 606.50 and 427.40 is: 588.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.76 : 606.50 = 427.40 : x
  2. Step 2: Convert to fraction form
    440.76/606.50 = 427.40/x
  3. Step 3: Cross multiply
    440.76x = 606.50 × 427.40
  4. Step 4: Simplify right side
    440.76x = 259,218.10
  5. Step 5: Solve for x
    x = 259,218.10/440.76
  6. Step 6: Final answer
    x = 588.12

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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.