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Finding the Fourth Proportional to 658.83, 982.45 and 605.64

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Solution

The fourth proportional to 658.83, 982.45 and 605.64 is: 903.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.83 : 982.45 = 605.64 : x
  2. Step 2: Convert to fraction form
    658.83/982.45 = 605.64/x
  3. Step 3: Cross multiply
    658.83x = 982.45 × 605.64
  4. Step 4: Simplify right side
    658.83x = 595,007.62
  5. Step 5: Solve for x
    x = 595,007.62/658.83
  6. Step 6: Final answer
    x = 903.13

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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.