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Finding the Fourth Proportional to 660.57, 989.87 and 522.06

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Solution

The fourth proportional to 660.57, 989.87 and 522.06 is: 782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.57 : 989.87 = 522.06 : x
  2. Step 2: Convert to fraction form
    660.57/989.87 = 522.06/x
  3. Step 3: Cross multiply
    660.57x = 989.87 × 522.06
  4. Step 4: Simplify right side
    660.57x = 516,771.53
  5. Step 5: Solve for x
    x = 516,771.53/660.57
  6. Step 6: Final answer
    x = 782.31

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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.