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Finding the Fourth Proportional to 659.60, 989.89 and 512.99

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Solution

The fourth proportional to 659.60, 989.89 and 512.99 is: 769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.60 : 989.89 = 512.99 : x
  2. Step 2: Convert to fraction form
    659.60/989.89 = 512.99/x
  3. Step 3: Cross multiply
    659.60x = 989.89 × 512.99
  4. Step 4: Simplify right side
    659.60x = 507,806.72
  5. Step 5: Solve for x
    x = 507,806.72/659.60
  6. Step 6: Final answer
    x = 769.87

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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.