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Finding the Fourth Proportional to 660.87, 911.43 and 475.59

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Solution

The fourth proportional to 660.87, 911.43 and 475.59 is: 655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.87 : 911.43 = 475.59 : x
  2. Step 2: Convert to fraction form
    660.87/911.43 = 475.59/x
  3. Step 3: Cross multiply
    660.87x = 911.43 × 475.59
  4. Step 4: Simplify right side
    660.87x = 433,466.99
  5. Step 5: Solve for x
    x = 433,466.99/660.87
  6. Step 6: Final answer
    x = 655.90

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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.