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Finding the Fourth Proportional to 958.48, 1,323.16 and 649.60

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Solution

The fourth proportional to 958.48, 1,323.16 and 649.60 is: 896.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.48 : 1,323.16 = 649.60 : x
  2. Step 2: Convert to fraction form
    958.48/1,323.16 = 649.60/x
  3. Step 3: Cross multiply
    958.48x = 1,323.16 × 649.60
  4. Step 4: Simplify right side
    958.48x = 859,524.74
  5. Step 5: Solve for x
    x = 859,524.74/958.48
  6. Step 6: Final answer
    x = 896.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.