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Finding the Fourth Proportional to 660.87, 988.67 and 505.62

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Solution

The fourth proportional to 660.87, 988.67 and 505.62 is: 756.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.87 : 988.67 = 505.62 : x
  2. Step 2: Convert to fraction form
    660.87/988.67 = 505.62/x
  3. Step 3: Cross multiply
    660.87x = 988.67 × 505.62
  4. Step 4: Simplify right side
    660.87x = 499,892.59
  5. Step 5: Solve for x
    x = 499,892.59/660.87
  6. Step 6: Final answer
    x = 756.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.