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Finding the Fourth Proportional to 659.42, 987.00 and 350.51

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Solution

The fourth proportional to 659.42, 987.00 and 350.51 is: 524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.42 : 987.00 = 350.51 : x
  2. Step 2: Convert to fraction form
    659.42/987.00 = 350.51/x
  3. Step 3: Cross multiply
    659.42x = 987.00 × 350.51
  4. Step 4: Simplify right side
    659.42x = 345,949.09
  5. Step 5: Solve for x
    x = 345,949.09/659.42
  6. Step 6: Final answer
    x = 524.63

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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.