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Finding the Fourth Proportional to 658.79, 982.37 and 643.05

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Solution

The fourth proportional to 658.79, 982.37 and 643.05 is: 958.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.79 : 982.37 = 643.05 : x
  2. Step 2: Convert to fraction form
    658.79/982.37 = 643.05/x
  3. Step 3: Cross multiply
    658.79x = 982.37 × 643.05
  4. Step 4: Simplify right side
    658.79x = 631,709.81
  5. Step 5: Solve for x
    x = 631,709.81/658.79
  6. Step 6: Final answer
    x = 958.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.