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Finding the Fourth Proportional to 659.71, 988.79 and 367.07

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Solution

The fourth proportional to 659.71, 988.79 and 367.07 is: 550.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.71 : 988.79 = 367.07 : x
  2. Step 2: Convert to fraction form
    659.71/988.79 = 367.07/x
  3. Step 3: Cross multiply
    659.71x = 988.79 × 367.07
  4. Step 4: Simplify right side
    659.71x = 362,958.53
  5. Step 5: Solve for x
    x = 362,958.53/659.71
  6. Step 6: Final answer
    x = 550.18

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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.