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Finding the Fourth Proportional to 658.86, 983.48 and 609.99

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Solution

The fourth proportional to 658.86, 983.48 and 609.99 is: 910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.86 : 983.48 = 609.99 : x
  2. Step 2: Convert to fraction form
    658.86/983.48 = 609.99/x
  3. Step 3: Cross multiply
    658.86x = 983.48 × 609.99
  4. Step 4: Simplify right side
    658.86x = 599,912.97
  5. Step 5: Solve for x
    x = 599,912.97/658.86
  6. Step 6: Final answer
    x = 910.53

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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.