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Finding the Fourth Proportional to 949.30, 1,424.68 and 658.84

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Solution

The fourth proportional to 949.30, 1,424.68 and 658.84 is: 988.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.30 : 1,424.68 = 658.84 : x
  2. Step 2: Convert to fraction form
    949.30/1,424.68 = 658.84/x
  3. Step 3: Cross multiply
    949.30x = 1,424.68 × 658.84
  4. Step 4: Simplify right side
    949.30x = 938,629.05
  5. Step 5: Solve for x
    x = 938,629.05/949.30
  6. Step 6: Final answer
    x = 988.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.