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Finding the Fourth Proportional to 660.81, 990.43 and 506.25

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Solution

The fourth proportional to 660.81, 990.43 and 506.25 is: 758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.81 : 990.43 = 506.25 : x
  2. Step 2: Convert to fraction form
    660.81/990.43 = 506.25/x
  3. Step 3: Cross multiply
    660.81x = 990.43 × 506.25
  4. Step 4: Simplify right side
    660.81x = 501,403.92
  5. Step 5: Solve for x
    x = 501,403.92/660.81
  6. Step 6: Final answer
    x = 758.77

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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.