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Finding the Fourth Proportional to 440.85, 606.51 and 428.70

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Solution

The fourth proportional to 440.85, 606.51 and 428.70 is: 589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.85 : 606.51 = 428.70 : x
  2. Step 2: Convert to fraction form
    440.85/606.51 = 428.70/x
  3. Step 3: Cross multiply
    440.85x = 606.51 × 428.70
  4. Step 4: Simplify right side
    440.85x = 260,010.84
  5. Step 5: Solve for x
    x = 260,010.84/440.85
  6. Step 6: Final answer
    x = 589.79

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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.