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Finding the Fourth Proportional to 659.02, 986.40 and 350.44

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Solution

The fourth proportional to 659.02, 986.40 and 350.44 is: 524.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.02 : 986.40 = 350.44 : x
  2. Step 2: Convert to fraction form
    659.02/986.40 = 350.44/x
  3. Step 3: Cross multiply
    659.02x = 986.40 × 350.44
  4. Step 4: Simplify right side
    659.02x = 345,674.02
  5. Step 5: Solve for x
    x = 345,674.02/659.02
  6. Step 6: Final answer
    x = 524.53

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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.