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Finding the Fourth Proportional to 662.20, 912.69 and 440.76

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Solution

The fourth proportional to 662.20, 912.69 and 440.76 is: 607.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.20 : 912.69 = 440.76 : x
  2. Step 2: Convert to fraction form
    662.20/912.69 = 440.76/x
  3. Step 3: Cross multiply
    662.20x = 912.69 × 440.76
  4. Step 4: Simplify right side
    662.20x = 402,277.24
  5. Step 5: Solve for x
    x = 402,277.24/662.20
  6. Step 6: Final answer
    x = 607.49

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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.