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Finding the Fourth Proportional to 487.20, 670.70 and 440.43

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Solution

The fourth proportional to 487.20, 670.70 and 440.43 is: 606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.20 : 670.70 = 440.43 : x
  2. Step 2: Convert to fraction form
    487.20/670.70 = 440.43/x
  3. Step 3: Cross multiply
    487.20x = 670.70 × 440.43
  4. Step 4: Simplify right side
    487.20x = 295,396.40
  5. Step 5: Solve for x
    x = 295,396.40/487.20
  6. Step 6: Final answer
    x = 606.31

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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.